36=(x+9)(x-7)

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Solution for 36=(x+9)(x-7) equation: 


Simplifying
36 = (x + 9)(x + -7)

Reorder the terms:
36 = (9 + x)(x + -7)

Reorder the terms:
36 = (9 + x)(-7 + x)

Multiply (9 + x) * (-7 + x)
36 = (9(-7 + x) + x(-7 + x))
36 = ((-7 * 9 + x * 9) + x(-7 + x))
36 = ((-63 + 9x) + x(-7 + x))
36 = (-63 + 9x + (-7 * x + x * x))
36 = (-63 + 9x + (-7x + x2))

Combine like terms: 9x + -7x = 2x
36 = (-63 + 2x + x2)

Solving
36 = -63 + 2x + x2

Solving for variable 'x'.

Combine like terms: 36 + 63 = 99
99 + -2x + -1x2 = -63 + 2x + x2 + 63 + -2x + -1x2

Reorder the terms:
99 + -2x + -1x2 = -63 + 63 + 2x + -2x + x2 + -1x2

Combine like terms: -63 + 63 = 0
99 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
99 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
99 + -2x + -1x2 = 0 + x2 + -1x2
99 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
99 + -2x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {9, -11}

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