2g^2-28g+48=0

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Solution for 2g^2-28g+48=0 equation:


Simplifying
2g2 + -28g + 48 = 0

Reorder the terms:
48 + -28g + 2g2 = 0

Solving
48 + -28g + 2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -14g + g2) = 0

Factor a trinomial.
2((2 + -1g)(12 + -1g)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2

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 = {2, 12}

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