How do you solve x(x – 7) = -10?

Mar 15, 2016

$x = 5 , 2$

Explanation:

color(blue)(x(x-7)=-10

Use distributive property color(brown)(a(b+c)=ab+ac

$\rightarrow {x}^{2} - 7 x = - 10$

$\rightarrow {x}^{2} - 7 x + 10 = 0$

Factor the equation

$\rightarrow \left(x - 5\right) \left(x - 2\right) = 0$

Now we have color(green)(x=5,2

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Check $\left(5\right)$

$5 \left(5 - 7\right) = - 10$

$25 - 35 = - 10$

color(green)(-10=-10

Check $\left(2\right)$

$2 \left(2 - 7\right) = - 10$

$4 - 14 = - 10$

color(green)(-10=-10