7x+99=(3x+23)(3x+23)

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Solution for 7x+99=(3x+23)(3x+23) equation: 


Simplifying
7x + 99 = (3x + 23)(3x + 23)

Reorder the terms:
99 + 7x = (3x + 23)(3x + 23)

Reorder the terms:
99 + 7x = (23 + 3x)(3x + 23)

Reorder the terms:
99 + 7x = (23 + 3x)(23 + 3x)

Multiply (23 + 3x) * (23 + 3x)
99 + 7x = (23(23 + 3x) + 3x * (23 + 3x))
99 + 7x = ((23 * 23 + 3x * 23) + 3x * (23 + 3x))
99 + 7x = ((529 + 69x) + 3x * (23 + 3x))
99 + 7x = (529 + 69x + (23 * 3x + 3x * 3x))
99 + 7x = (529 + 69x + (69x + 9x2))

Combine like terms: 69x + 69x = 138x
99 + 7x = (529 + 138x + 9x2)

Solving
99 + 7x = 529 + 138x + 9x2

Solving for variable 'x'.

Reorder the terms:
99 + -529 + 7x + -138x + -9x2 = 529 + 138x + 9x2 + -529 + -138x + -9x2

Combine like terms: 99 + -529 = -430
-430 + 7x + -138x + -9x2 = 529 + 138x + 9x2 + -529 + -138x + -9x2

Combine like terms: 7x + -138x = -131x
-430 + -131x + -9x2 = 529 + 138x + 9x2 + -529 + -138x + -9x2

Reorder the terms:
-430 + -131x + -9x2 = 529 + -529 + 138x + -138x + 9x2 + -9x2

Combine like terms: 529 + -529 = 0
-430 + -131x + -9x2 = 0 + 138x + -138x + 9x2 + -9x2
-430 + -131x + -9x2 = 138x + -138x + 9x2 + -9x2

Combine like terms: 138x + -138x = 0
-430 + -131x + -9x2 = 0 + 9x2 + -9x2
-430 + -131x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-430 + -131x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(430 + 131x + 9x2) = 0

Factor a trinomial.
-1((86 + 9x)(5 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(86 + 9x)' equal to zero and attempt to solve:

Simplifying
86 + 9x = 0

Solving
86 + 9x = 0

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

Add '-86' to each side of the equation.
86 + -86 + 9x = 0 + -86

Combine like terms: 86 + -86 = 0
0 + 9x = 0 + -86
9x = 0 + -86

Combine like terms: 0 + -86 = -86
9x = -86

Divide each side by '9'.
x = -9.555555556

Simplifying
x = -9.555555556

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

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

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

Simplifying
x = -5
Solution
x = {-9.555555556, -5}

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