(x-9)(x+6)=16

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Solution for (x-9)(x+6)=16 equation: 


Simplifying
(x + -9)(x + 6) = 16

Reorder the terms:
(-9 + x)(x + 6) = 16

Reorder the terms:
(-9 + x)(6 + x) = 16

Multiply (-9 + x) * (6 + x)
(-9(6 + x) + x(6 + x)) = 16
((6 * -9 + x * -9) + x(6 + x)) = 16
((-54 + -9x) + x(6 + x)) = 16
(-54 + -9x + (6 * x + x * x)) = 16
(-54 + -9x + (6x + x2)) = 16

Combine like terms: -9x + 6x = -3x
(-54 + -3x + x2) = 16

Solving
-54 + -3x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
-54 + -16 + -3x + x2 = 16 + -16

Combine like terms: -54 + -16 = -70
-70 + -3x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-70 + -3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-7, 10}

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