6x^2+50x+145=4x^2+26x+81

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Solution for 6x^2+50x+145=4x^2+26x+81 equation: 


Simplifying
6x2 + 50x + 145 = 4x2 + 26x + 81

Reorder the terms:
145 + 50x + 6x2 = 4x2 + 26x + 81

Reorder the terms:
145 + 50x + 6x2 = 81 + 26x + 4x2

Solving
145 + 50x + 6x2 = 81 + 26x + 4x2

Solving for variable 'x'.

Reorder the terms:
145 + -81 + 50x + -26x + 6x2 + -4x2 = 81 + 26x + 4x2 + -81 + -26x + -4x2

Combine like terms: 145 + -81 = 64
64 + 50x + -26x + 6x2 + -4x2 = 81 + 26x + 4x2 + -81 + -26x + -4x2

Combine like terms: 50x + -26x = 24x
64 + 24x + 6x2 + -4x2 = 81 + 26x + 4x2 + -81 + -26x + -4x2

Combine like terms: 6x2 + -4x2 = 2x2
64 + 24x + 2x2 = 81 + 26x + 4x2 + -81 + -26x + -4x2

Reorder the terms:
64 + 24x + 2x2 = 81 + -81 + 26x + -26x + 4x2 + -4x2

Combine like terms: 81 + -81 = 0
64 + 24x + 2x2 = 0 + 26x + -26x + 4x2 + -4x2
64 + 24x + 2x2 = 26x + -26x + 4x2 + -4x2

Combine like terms: 26x + -26x = 0
64 + 24x + 2x2 = 0 + 4x2 + -4x2
64 + 24x + 2x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
64 + 24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(32 + 12x + x2) = 0

Factor a trinomial.
2((8 + x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {-8, -4}

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