8x^2-12x-20=2x^2+7x

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Solution for 8x^2-12x-20=2x^2+7x equation: 


Simplifying
8x2 + -12x + -20 = 2x2 + 7x

Reorder the terms:
-20 + -12x + 8x2 = 2x2 + 7x

Reorder the terms:
-20 + -12x + 8x2 = 7x + 2x2

Solving
-20 + -12x + 8x2 = 7x + 2x2

Solving for variable 'x'.

Reorder the terms:
-20 + -12x + -7x + 8x2 + -2x2 = 7x + 2x2 + -7x + -2x2

Combine like terms: -12x + -7x = -19x
-20 + -19x + 8x2 + -2x2 = 7x + 2x2 + -7x + -2x2

Combine like terms: 8x2 + -2x2 = 6x2
-20 + -19x + 6x2 = 7x + 2x2 + -7x + -2x2

Reorder the terms:
-20 + -19x + 6x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
-20 + -19x + 6x2 = 0 + 2x2 + -2x2
-20 + -19x + 6x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-20 + -19x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 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 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-0.8333333333, 4}

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