Questions: 3(4g+6)=2(6g+9)

3(4g+6)=2(6g+9)
Transcript text: $3(4 g+6)=2(6 g+9)$
failed

Solution

failed
failed

Solution Steps

To solve the equation \(3(4g + 6) = 2(6g + 9)\), we will first expand both sides of the equation. Then, we will collect like terms and solve for the variable \(g\).

Step 1: Expand Both Sides

First, we expand both sides of the equation: \[ 3(4g + 6) = 2(6g + 9) \]

Expanding gives: \[ 12g + 18 = 12g + 18 \]

Step 2: Simplify the Equation

After expanding, we notice that both sides of the equation are identical: \[ 12g + 18 = 12g + 18 \]

Step 3: Analyze the Equation

Since both sides of the equation are identical, this implies that the equation is true for all values of \( g \). Therefore, there are infinitely many solutions.

Final Answer

The solution to the equation is that \( g \) can be any real number. Thus, the solution is: \[ \boxed{\text{All real numbers}} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Determine the following limit or state that the limit does not exist. lim n → ∞ 4n = □
failedAnswered
A human egg with 22 chromosomes that is fertilized by a normal sperm will result in a zygote with trisomy. a zygote with disomy. a zygote with monosomy. a zygote with a normal chromosome number. a fertilized egg with 44 chromosomes.
failedAnswered
Identify the absolute minimum and maximum values of the function on the given interval (when they exist). f(x)=4x-20tan^(-1)x ;[-3sqrt(3), 3sqrt(3)]
failedAnswered
NPN 101 - Start Date: 08/01/2024 - End Date: 12/12/2025 NPN 112 Exam 7 Review Quizzing: Assignment Question 75 of 78 The nurse interviews a patient who recently began warfarin therapy for the treatment of pulmonary emboli. The patient states, "I have noticed that my gums bleed when I brush my teeth." Which is the priority action for the nurse? Ask if the patient has a history of gum disease. Inquire if the patient uses a regular toothbrush or an electric toothbrush. Ask if the patient takes over-the-counter medication for headaches or muscles aches Inquire if the patient has consumed crunchy foods, which can cause gum irritation
failedAnswered
What happens to the particles when melting occurs? The particles move slower. The particles move faster. The particles line up.