Questions: x^2 - 10x = -

x^2 - 10x = -
Transcript text: $x^{2}-10 x=-$
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Solution

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Solution Steps

Step 1: Rewrite the Equation

The given equation is

\[ x^{2} - 10x = 0 \]

Step 2: Factor the Polynomial

We can factor the left-hand side of the equation:

\[ x^{2} - 10x = x(x - 10) \]

Step 3: Set Each Factor to Zero

To find the solutions, we set each factor equal to zero:

  1. \( x = 0 \)
  2. \( x - 10 = 0 \) which simplifies to \( x = 10 \)

Thus, the solutions to the equation are \( x = 0 \) and \( x = 10 \).

Final Answer

\(\boxed{x = 0}\) and \(\boxed{x = 10}\)

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