4x^2-17x-120=0

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Solution for 4x^2-17x-120=0 equation: 


Simplifying
4x2 + -17x + -120 = 0

Reorder the terms:
-120 + -17x + 4x2 = 0

Solving
-120 + -17x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -4x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-15 + -4x)' equal to zero and attempt to solve:

Simplifying
-15 + -4x = 0

Solving
-15 + -4x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -4x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4x = 0 + 15
-4x = 0 + 15

Combine like terms: 0 + 15 = 15
-4x = 15

Divide each side by '-4'.
x = -3.75

Simplifying
x = -3.75

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 = {-3.75, 8}

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