g^2+7g=120

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Solution for g^2+7g=120 equation:


Simplifying
g2 + 7g = 120

Reorder the terms:
7g + g2 = 120

Solving
7g + g2 = 120

Solving for variable 'g'.

Reorder the terms:
-120 + 7g + g2 = 120 + -120

Combine like terms: 120 + -120 = 0
-120 + 7g + g2 = 0

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

Subproblem 1

Set the factor '(-15 + -1g)' equal to zero and attempt to solve: Simplifying -15 + -1g = 0 Solving -15 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1g = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1g = 0 + 15 -1g = 0 + 15 Combine like terms: 0 + 15 = 15 -1g = 15 Divide each side by '-1'. g = -15 Simplifying g = -15

Subproblem 2

Set the factor '(8 + -1g)' equal to zero and attempt to solve: Simplifying 8 + -1g = 0 Solving 8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1g = 0 + -8 -1g = 0 + -8 Combine like terms: 0 + -8 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8

Solution

g = {-15, 8}

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