g^2+8g+48=48

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Solution for g^2+8g+48=48 equation:


Simplifying
g2 + 8g + 48 = 48

Reorder the terms:
48 + 8g + g2 = 48

Add '-48' to each side of the equation.
48 + 8g + -48 + g2 = 48 + -48

Reorder the terms:
48 + -48 + 8g + g2 = 48 + -48

Combine like terms: 48 + -48 = 0
0 + 8g + g2 = 48 + -48
8g + g2 = 48 + -48

Combine like terms: 48 + -48 = 0
8g + g2 = 0

Solving
8g + g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g'.
g(8 + g) = 0

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(8 + g)' equal to zero and attempt to solve: Simplifying 8 + g = 0 Solving 8 + g = 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 + g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + g = 0 + -8 g = 0 + -8 Combine like terms: 0 + -8 = -8 g = -8 Simplifying g = -8

Solution

g = {0, -8}

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