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Simplifying g2 + g = 210 Reorder the terms: g + g2 = 210 Solving g + g2 = 210 Solving for variable 'g'. Reorder the terms: -210 + g + g2 = 210 + -210 Combine like terms: 210 + -210 = 0 -210 + g + g2 = 0 Factor a trinomial. (-15 + -1g)(14 + -1g) = 0Subproblem 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 = -15Subproblem 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 = {-15, 14}
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