5x(-x+5)=-120

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


Simplifying
5x(-1x + 5) = -120

Reorder the terms:
5x(5 + -1x) = -120
(5 * 5x + -1x * 5x) = -120
(25x + -5x2) = -120

Solving
25x + -5x2 = -120

Solving for variable 'x'.

Reorder the terms:
120 + 25x + -5x2 = -120 + 120

Combine like terms: -120 + 120 = 0
120 + 25x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + 5x + -1x2) = 0

Factor a trinomial.
5((8 + -1x)(3 + x)) = 0

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {8, -3}

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