g^2+16g=80

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Solution for g^2+16g=80 equation:


Simplifying
g2 + 16g = 80

Reorder the terms:
16g + g2 = 80

Solving
16g + g2 = 80

Solving for variable 'g'.

Reorder the terms:
-80 + 16g + g2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 16g + g2 = 0

Factor a trinomial.
(-20 + -1g)(4 + -1g) = 0

Subproblem 1

Set the factor '(-20 + -1g)' equal to zero and attempt to solve: Simplifying -20 + -1g = 0 Solving -20 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1g = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1g = 0 + 20 -1g = 0 + 20 Combine like terms: 0 + 20 = 20 -1g = 20 Divide each side by '-1'. g = -20 Simplifying g = -20

Subproblem 2

Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4

Solution

g = {-20, 4}

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