Questions: 4x - 9x + 2 =

Transcript text: $4 x-9 x+2=$

Solution

Solution Steps

To solve the equation $4x - 9x + 2 = 0$, we first combine like terms on the left side of the equation. This involves adding the coefficients of $x$. After simplifying, we solve for $x$ by isolating it on one side of the equation.

Step 1: Combine Like Terms

The given equation is $4x - 9x + 2 = 0$. First, we combine the like terms $4x$ and $-9x$: \[ 4x - 9x = -5x \] Thus, the equation simplifies to: \[ -5x + 2 = 0 \]

Step 2: Isolate the Variable

To solve for $x$, we need to isolate it. Start by subtracting 2 from both sides of the equation: \[ -5x = -2 \]

Step 3: Solve for $x$

Divide both sides by $-5$ to solve for $x$: \[ x = \frac{-2}{-5} = \frac{2}{5} \]