(x-10)(x+6)=-63

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Solution for (x-10)(x+6)=-63 equation:



(x-10)(x+6)=-63
We move all terms to the left:
(x-10)(x+6)-(-63)=0
We add all the numbers together, and all the variables
(x-10)(x+6)+63=0
We multiply parentheses ..
(+x^2+6x-10x-60)+63=0
We get rid of parentheses
x^2+6x-10x-60+63=0
We add all the numbers together, and all the variables
x^2-4x+3=0
a = 1; b = -4; c = +3;
Δ = b2-4ac
Δ = -42-4·1·3
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2}{2*1}=\frac{2}{2} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2}{2*1}=\frac{6}{2} =3 $

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