8x^2+20x-1=26x+8

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Solution for 8x^2+20x-1=26x+8 equation: 


Simplifying
8x2 + 20x + -1 = 26x + 8

Reorder the terms:
-1 + 20x + 8x2 = 26x + 8

Reorder the terms:
-1 + 20x + 8x2 = 8 + 26x

Solving
-1 + 20x + 8x2 = 8 + 26x

Solving for variable 'x'.

Reorder the terms:
-1 + -8 + 20x + -26x + 8x2 = 8 + 26x + -8 + -26x

Combine like terms: -1 + -8 = -9
-9 + 20x + -26x + 8x2 = 8 + 26x + -8 + -26x

Combine like terms: 20x + -26x = -6x
-9 + -6x + 8x2 = 8 + 26x + -8 + -26x

Reorder the terms:
-9 + -6x + 8x2 = 8 + -8 + 26x + -26x

Combine like terms: 8 + -8 = 0
-9 + -6x + 8x2 = 0 + 26x + -26x
-9 + -6x + 8x2 = 26x + -26x

Combine like terms: 26x + -26x = 0
-9 + -6x + 8x2 = 0

Factor a trinomial.
(-3 + -4x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.75, 1.5}

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