3x^2-2x-8=125

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Solution for 3x^2-2x-8=125 equation: 


Simplifying
3x2 + -2x + -8 = 125

Reorder the terms:
-8 + -2x + 3x2 = 125

Solving
-8 + -2x + 3x2 = 125

Solving for variable 'x'.

Reorder the terms:
-8 + -125 + -2x + 3x2 = 125 + -125

Combine like terms: -8 + -125 = -133
-133 + -2x + 3x2 = 125 + -125

Combine like terms: 125 + -125 = 0
-133 + -2x + 3x2 = 0

Factor a trinomial.
(-19 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-19 + -3x)' equal to zero and attempt to solve:

Simplifying
-19 + -3x = 0

Solving
-19 + -3x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -3x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = 0 + 19
-3x = 0 + 19

Combine like terms: 0 + 19 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333

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 = {-6.333333333, 7}

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