g^2+3g-40=0

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Solution for g^2+3g-40=0 equation:


Simplifying
g2 + 3g + -40 = 0

Reorder the terms:
-40 + 3g + g2 = 0

Solving
-40 + 3g + g2 = 0

Solving for variable 'g'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5

Solution

g = {-8, 5}

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