5(x^2)+x-120=0

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Solution for 5(x^2)+x-120=0 equation: 


Simplifying
5(x2) + x + -120 = 0

Reorder the terms:
-120 + x + 5x2 = 0

Solving
-120 + x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(24 + -5x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(24 + -5x)' equal to zero and attempt to solve:

Simplifying
24 + -5x = 0

Solving
24 + -5x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 0 + -24
-5x = 0 + -24

Combine like terms: 0 + -24 = -24
-5x = -24

Divide each side by '-5'.
x = 4.8

Simplifying
x = 4.8
Solution
x = {-5, 4.8}

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