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Simplifying g2 + -16g + 28 = 0 Reorder the terms: 28 + -16g + g2 = 0 Solving 28 + -16g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + -1g)(14 + -1g) = 0Subproblem 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 = 2Subproblem 2
Set the factor '(14 + -1g)' equal to zero and attempt to solve: Simplifying 14 + -1g = 0 Solving 14 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1g = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1g = 0 + -14 -1g = 0 + -14 Combine like terms: 0 + -14 = -14 -1g = -14 Divide each side by '-1'. g = 14 Simplifying g = 14Solution
g = {2, 14}
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