g^2-16g+48=0

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Solution for g^2-16g+48=0 equation:


Simplifying
g2 + -16g + 48 = 0

Reorder the terms:
48 + -16g + g2 = 0

Solving
48 + -16g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(4 + -1g)(12 + -1g) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(12 + -1g)' equal to zero and attempt to solve: Simplifying 12 + -1g = 0 Solving 12 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1g = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1g = 0 + -12 -1g = 0 + -12 Combine like terms: 0 + -12 = -12 -1g = -12 Divide each side by '-1'. g = 12 Simplifying g = 12

Solution

g = {4, 12}

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