8x^2-11x-20=50-14x+7x^2

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Solution for 8x^2-11x-20=50-14x+7x^2 equation: 


Simplifying
8x2 + -11x + -20 = 50 + -14x + 7x2

Reorder the terms:
-20 + -11x + 8x2 = 50 + -14x + 7x2

Solving
-20 + -11x + 8x2 = 50 + -14x + 7x2

Solving for variable 'x'.

Reorder the terms:
-20 + -50 + -11x + 14x + 8x2 + -7x2 = 50 + -14x + 7x2 + -50 + 14x + -7x2

Combine like terms: -20 + -50 = -70
-70 + -11x + 14x + 8x2 + -7x2 = 50 + -14x + 7x2 + -50 + 14x + -7x2

Combine like terms: -11x + 14x = 3x
-70 + 3x + 8x2 + -7x2 = 50 + -14x + 7x2 + -50 + 14x + -7x2

Combine like terms: 8x2 + -7x2 = 1x2
-70 + 3x + 1x2 = 50 + -14x + 7x2 + -50 + 14x + -7x2

Reorder the terms:
-70 + 3x + 1x2 = 50 + -50 + -14x + 14x + 7x2 + -7x2

Combine like terms: 50 + -50 = 0
-70 + 3x + 1x2 = 0 + -14x + 14x + 7x2 + -7x2
-70 + 3x + 1x2 = -14x + 14x + 7x2 + -7x2

Combine like terms: -14x + 14x = 0
-70 + 3x + 1x2 = 0 + 7x2 + -7x2
-70 + 3x + 1x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-70 + 3x + 1x2 = 0

Factor a trinomial.
(-10 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-10, 7}

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