g^2+5g=176

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Solution for g^2+5g=176 equation:


Simplifying
g2 + 5g = 176

Reorder the terms:
5g + g2 = 176

Solving
5g + g2 = 176

Solving for variable 'g'.

Reorder the terms:
-176 + 5g + g2 = 176 + -176

Combine like terms: 176 + -176 = 0
-176 + 5g + g2 = 0

Factor a trinomial.
(-16 + -1g)(11 + -1g) = 0

Subproblem 1

Set the factor '(-16 + -1g)' equal to zero and attempt to solve: Simplifying -16 + -1g = 0 Solving -16 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1g = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1g = 0 + 16 -1g = 0 + 16 Combine like terms: 0 + 16 = 16 -1g = 16 Divide each side by '-1'. g = -16 Simplifying g = -16

Subproblem 2

Set the factor '(11 + -1g)' equal to zero and attempt to solve: Simplifying 11 + -1g = 0 Solving 11 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1g = 0 + -11 -1g = 0 + -11 Combine like terms: 0 + -11 = -11 -1g = -11 Divide each side by '-1'. g = 11 Simplifying g = 11

Solution

g = {-16, 11}

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