(x+6)(x-9)=-14

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Solution for (x+6)(x-9)=-14 equation: 


Simplifying
(x + 6)(x + -9) = -14

Reorder the terms:
(6 + x)(x + -9) = -14

Reorder the terms:
(6 + x)(-9 + x) = -14

Multiply (6 + x) * (-9 + x)
(6(-9 + x) + x(-9 + x)) = -14
((-9 * 6 + x * 6) + x(-9 + x)) = -14
((-54 + 6x) + x(-9 + x)) = -14
(-54 + 6x + (-9 * x + x * x)) = -14
(-54 + 6x + (-9x + x2)) = -14

Combine like terms: 6x + -9x = -3x
(-54 + -3x + x2) = -14

Solving
-54 + -3x + x2 = -14

Solving for variable 'x'.

Reorder the terms:
-54 + 14 + -3x + x2 = -14 + 14

Combine like terms: -54 + 14 = -40
-40 + -3x + x2 = -14 + 14

Combine like terms: -14 + 14 = 0
-40 + -3x + x2 = 0

Factor a trinomial.
(-5 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-5, 8}

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