9x+91=(2x+8)(2x+8)

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Solution for 9x+91=(2x+8)(2x+8) equation: 


Simplifying
9x + 91 = (2x + 8)(2x + 8)

Reorder the terms:
91 + 9x = (2x + 8)(2x + 8)

Reorder the terms:
91 + 9x = (8 + 2x)(2x + 8)

Reorder the terms:
91 + 9x = (8 + 2x)(8 + 2x)

Multiply (8 + 2x) * (8 + 2x)
91 + 9x = (8(8 + 2x) + 2x * (8 + 2x))
91 + 9x = ((8 * 8 + 2x * 8) + 2x * (8 + 2x))
91 + 9x = ((64 + 16x) + 2x * (8 + 2x))
91 + 9x = (64 + 16x + (8 * 2x + 2x * 2x))
91 + 9x = (64 + 16x + (16x + 4x2))

Combine like terms: 16x + 16x = 32x
91 + 9x = (64 + 32x + 4x2)

Solving
91 + 9x = 64 + 32x + 4x2

Solving for variable 'x'.

Reorder the terms:
91 + -64 + 9x + -32x + -4x2 = 64 + 32x + 4x2 + -64 + -32x + -4x2

Combine like terms: 91 + -64 = 27
27 + 9x + -32x + -4x2 = 64 + 32x + 4x2 + -64 + -32x + -4x2

Combine like terms: 9x + -32x = -23x
27 + -23x + -4x2 = 64 + 32x + 4x2 + -64 + -32x + -4x2

Reorder the terms:
27 + -23x + -4x2 = 64 + -64 + 32x + -32x + 4x2 + -4x2

Combine like terms: 64 + -64 = 0
27 + -23x + -4x2 = 0 + 32x + -32x + 4x2 + -4x2
27 + -23x + -4x2 = 32x + -32x + 4x2 + -4x2

Combine like terms: 32x + -32x = 0
27 + -23x + -4x2 = 0 + 4x2 + -4x2
27 + -23x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
27 + -23x + -4x2 = 0

Factor a trinomial.
(1 + -1x)(27 + 4x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(27 + 4x)' equal to zero and attempt to solve:

Simplifying
27 + 4x = 0

Solving
27 + 4x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 4x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4x = 0 + -27
4x = 0 + -27

Combine like terms: 0 + -27 = -27
4x = -27

Divide each side by '4'.
x = -6.75

Simplifying
x = -6.75
Solution
x = {1, -6.75}

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