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Solve the equation 5x2 − 10x = 0.

September 9, 2026Mathematics

ScanSolve AI Answer

Answer

x=0, x=2

3 steps

Identify the common factor in the equation.
The equation is $5x^2 - 10x = 0$ . Both terms, $5x^2$ and $-10x$ , have a common factor of $5x$ .
Factor out the common term.
Factor $5x$ from both terms:
$5x(x - 2) = 0$
Set each factor equal to zero and solve for $x$ .
For the product of two factors to be zero, at least one of the factors must be zero.
Case 1:
$5x = 0$
Divide by 5:
$x = \frac{0}{5}$ $x = 0$
Case 2:
$x - 2 = 0$
Add 2 to both sides:
$x = 2$
The solutions to the equation are $x = 0$ and $x = 2$ .

The final answer is $x=0, x=2$ .