10x^2-31x-132=0

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Solution for 10x^2-31x-132=0 equation: 


Simplifying
10x2 + -31x + -132 = 0

Reorder the terms:
-132 + -31x + 10x2 = 0

Solving
-132 + -31x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -5x)(11 + -2x) = 0


Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {-2.4, 5.5}

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