20x^2-7x-117=0

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Solution for 20x^2-7x-117=0 equation: 


Simplifying
20x2 + -7x + -117 = 0

Reorder the terms:
-117 + -7x + 20x2 = 0

Solving
-117 + -7x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(13 + -5x) = 0


Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(13 + -5x)' equal to zero and attempt to solve:

Simplifying
13 + -5x = 0

Solving
13 + -5x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -5x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 0 + -13
-5x = 0 + -13

Combine like terms: 0 + -13 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6
Solution
x = {-2.25, 2.6}

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