-5x^2-2x+72=0

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Solution for -5x^2-2x+72=0 equation: 


Simplifying
-5x2 + -2x + 72 = 0

Reorder the terms:
72 + -2x + -5x2 = 0

Solving
72 + -2x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + -5x)(4 + x) = 0


Subproblem 1
Set the factor '(18 + -5x)' equal to zero and attempt to solve:

Simplifying
18 + -5x = 0

Solving
18 + -5x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -5x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 0 + -18
-5x = 0 + -18

Combine like terms: 0 + -18 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

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

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

Simplifying
x = -4
Solution
x = {3.6, -4}

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