2x^2-3x-50=6(x+1)

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Solution for 2x^2-3x-50=6(x+1) equation: 


Simplifying
2x2 + -3x + -50 = 6(x + 1)

Reorder the terms:
-50 + -3x + 2x2 = 6(x + 1)

Reorder the terms:
-50 + -3x + 2x2 = 6(1 + x)
-50 + -3x + 2x2 = (1 * 6 + x * 6)
-50 + -3x + 2x2 = (6 + 6x)

Solving
-50 + -3x + 2x2 = 6 + 6x

Solving for variable 'x'.

Reorder the terms:
-50 + -6 + -3x + -6x + 2x2 = 6 + 6x + -6 + -6x

Combine like terms: -50 + -6 = -56
-56 + -3x + -6x + 2x2 = 6 + 6x + -6 + -6x

Combine like terms: -3x + -6x = -9x
-56 + -9x + 2x2 = 6 + 6x + -6 + -6x

Reorder the terms:
-56 + -9x + 2x2 = 6 + -6 + 6x + -6x

Combine like terms: 6 + -6 = 0
-56 + -9x + 2x2 = 0 + 6x + -6x
-56 + -9x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-56 + -9x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(8 + -1x) = 0


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

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-3.5, 8}

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