8x^2+10x-11=12x+10

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Solution for 8x^2+10x-11=12x+10 equation: 


Simplifying
8x2 + 10x + -11 = 12x + 10

Reorder the terms:
-11 + 10x + 8x2 = 12x + 10

Reorder the terms:
-11 + 10x + 8x2 = 10 + 12x

Solving
-11 + 10x + 8x2 = 10 + 12x

Solving for variable 'x'.

Reorder the terms:
-11 + -10 + 10x + -12x + 8x2 = 10 + 12x + -10 + -12x

Combine like terms: -11 + -10 = -21
-21 + 10x + -12x + 8x2 = 10 + 12x + -10 + -12x

Combine like terms: 10x + -12x = -2x
-21 + -2x + 8x2 = 10 + 12x + -10 + -12x

Reorder the terms:
-21 + -2x + 8x2 = 10 + -10 + 12x + -12x

Combine like terms: 10 + -10 = 0
-21 + -2x + 8x2 = 0 + 12x + -12x
-21 + -2x + 8x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + -2x + 8x2 = 0

Factor a trinomial.
(-3 + -2x)(7 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-1.5, 1.75}

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