4x^2+24x+36=16x^2-88x+121

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Solution for 4x^2+24x+36=16x^2-88x+121 equation: 


Simplifying
4x2 + 24x + 36 = 16x2 + -88x + 121

Reorder the terms:
36 + 24x + 4x2 = 16x2 + -88x + 121

Reorder the terms:
36 + 24x + 4x2 = 121 + -88x + 16x2

Solving
36 + 24x + 4x2 = 121 + -88x + 16x2

Solving for variable 'x'.

Reorder the terms:
36 + -121 + 24x + 88x + 4x2 + -16x2 = 121 + -88x + 16x2 + -121 + 88x + -16x2

Combine like terms: 36 + -121 = -85
-85 + 24x + 88x + 4x2 + -16x2 = 121 + -88x + 16x2 + -121 + 88x + -16x2

Combine like terms: 24x + 88x = 112x
-85 + 112x + 4x2 + -16x2 = 121 + -88x + 16x2 + -121 + 88x + -16x2

Combine like terms: 4x2 + -16x2 = -12x2
-85 + 112x + -12x2 = 121 + -88x + 16x2 + -121 + 88x + -16x2

Reorder the terms:
-85 + 112x + -12x2 = 121 + -121 + -88x + 88x + 16x2 + -16x2

Combine like terms: 121 + -121 = 0
-85 + 112x + -12x2 = 0 + -88x + 88x + 16x2 + -16x2
-85 + 112x + -12x2 = -88x + 88x + 16x2 + -16x2

Combine like terms: -88x + 88x = 0
-85 + 112x + -12x2 = 0 + 16x2 + -16x2
-85 + 112x + -12x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
-85 + 112x + -12x2 = 0

Factor a trinomial.
(-17 + 2x)(5 + -6x) = 0


Subproblem 1
Set the factor '(-17 + 2x)' equal to zero and attempt to solve:

Simplifying
-17 + 2x = 0

Solving
-17 + 2x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 0 + 17
2x = 0 + 17

Combine like terms: 0 + 17 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {8.5, 0.8333333333}

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