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Simplifying g(g + -7) = -10 Reorder the terms: g(-7 + g) = -10 (-7 * g + g * g) = -10 (-7g + g2) = -10 Solving -7g + g2 = -10 Solving for variable 'g'. Reorder the terms: 10 + -7g + g2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -7g + g2 = 0 Factor a trinomial. (2 + -1g)(5 + -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 '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5Solution
g = {2, 5}
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