8x^2-20-8x=14x-35

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Solution for 8x^2-20-8x=14x-35 equation: 


Simplifying
8x2 + -20 + -8x = 14x + -35

Reorder the terms:
-20 + -8x + 8x2 = 14x + -35

Reorder the terms:
-20 + -8x + 8x2 = -35 + 14x

Solving
-20 + -8x + 8x2 = -35 + 14x

Solving for variable 'x'.

Reorder the terms:
-20 + 35 + -8x + -14x + 8x2 = -35 + 14x + 35 + -14x

Combine like terms: -20 + 35 = 15
15 + -8x + -14x + 8x2 = -35 + 14x + 35 + -14x

Combine like terms: -8x + -14x = -22x
15 + -22x + 8x2 = -35 + 14x + 35 + -14x

Reorder the terms:
15 + -22x + 8x2 = -35 + 35 + 14x + -14x

Combine like terms: -35 + 35 = 0
15 + -22x + 8x2 = 0 + 14x + -14x
15 + -22x + 8x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
15 + -22x + 8x2 = 0

Factor a trinomial.
(5 + -4x)(3 + -2x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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 = {1.25, 1.5}

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