8x^2+8x+8x+8=54x+18

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Solution for 8x^2+8x+8x+8=54x+18 equation: 


Simplifying
8x2 + 8x + 8x + 8 = 54x + 18

Reorder the terms:
8 + 8x + 8x + 8x2 = 54x + 18

Combine like terms: 8x + 8x = 16x
8 + 16x + 8x2 = 54x + 18

Reorder the terms:
8 + 16x + 8x2 = 18 + 54x

Solving
8 + 16x + 8x2 = 18 + 54x

Solving for variable 'x'.

Reorder the terms:
8 + -18 + 16x + -54x + 8x2 = 18 + 54x + -18 + -54x

Combine like terms: 8 + -18 = -10
-10 + 16x + -54x + 8x2 = 18 + 54x + -18 + -54x

Combine like terms: 16x + -54x = -38x
-10 + -38x + 8x2 = 18 + 54x + -18 + -54x

Reorder the terms:
-10 + -38x + 8x2 = 18 + -18 + 54x + -54x

Combine like terms: 18 + -18 = 0
-10 + -38x + 8x2 = 0 + 54x + -54x
-10 + -38x + 8x2 = 54x + -54x

Combine like terms: 54x + -54x = 0
-10 + -38x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -19x + 4x2) = 0

Factor a trinomial.
2((-1 + -4x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.25, 5}

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