8x^2-4x+6=5x+5

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Solution for 8x^2-4x+6=5x+5 equation: 


Simplifying
8x2 + -4x + 6 = 5x + 5

Reorder the terms:
6 + -4x + 8x2 = 5x + 5

Reorder the terms:
6 + -4x + 8x2 = 5 + 5x

Solving
6 + -4x + 8x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
6 + -5 + -4x + -5x + 8x2 = 5 + 5x + -5 + -5x

Combine like terms: 6 + -5 = 1
1 + -4x + -5x + 8x2 = 5 + 5x + -5 + -5x

Combine like terms: -4x + -5x = -9x
1 + -9x + 8x2 = 5 + 5x + -5 + -5x

Reorder the terms:
1 + -9x + 8x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
1 + -9x + 8x2 = 0 + 5x + -5x
1 + -9x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
1 + -9x + 8x2 = 0

Factor a trinomial.
(1 + -8x)(1 + -1x) = 0


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

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

Subproblem 2
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
Solution
x = {0.125, 1}

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