How do you solve $x(x – 7) = -10$ ?

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Answer 1 · 2016-03-15T14:23:05

$x=5,2$

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

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

$rarrx^2-7x=-10$

$rarrx^2-7x+10=0$

Factor the equation

$rarr(x-5)(x-2)=0$

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

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$

Check $(5)$

$5(5-7)=-10$

$25-35=-10$

$color(green)(-10=-10$

Check $(2)$

$2(2-7)=-10$

$4-14=-10$

$color(green)(-10=-10$

How do you solve x(x – 7) = -10x(x – 7) = -10?