g^2+11g=60

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Solution for g^2+11g=60 equation:


Simplifying
g2 + 11g = 60

Reorder the terms:
11g + g2 = 60

Solving
11g + g2 = 60

Solving for variable 'g'.

Reorder the terms:
-60 + 11g + g2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 11g + g2 = 0

Factor a trinomial.
(-15 + -1g)(4 + -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 '(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 = {-15, 4}

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