(x-8)(x+10)=-17

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Solution for (x-8)(x+10)=-17 equation: 


Simplifying
(x + -8)(x + 10) = -17

Reorder the terms:
(-8 + x)(x + 10) = -17

Reorder the terms:
(-8 + x)(10 + x) = -17

Multiply (-8 + x) * (10 + x)
(-8(10 + x) + x(10 + x)) = -17
((10 * -8 + x * -8) + x(10 + x)) = -17
((-80 + -8x) + x(10 + x)) = -17
(-80 + -8x + (10 * x + x * x)) = -17
(-80 + -8x + (10x + x2)) = -17

Combine like terms: -8x + 10x = 2x
(-80 + 2x + x2) = -17

Solving
-80 + 2x + x2 = -17

Solving for variable 'x'.

Reorder the terms:
-80 + 17 + 2x + x2 = -17 + 17

Combine like terms: -80 + 17 = -63
-63 + 2x + x2 = -17 + 17

Combine like terms: -17 + 17 = 0
-63 + 2x + x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-9, 7}

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