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Simplifying -21 = g(g + -10) Reorder the terms: -21 = g(-10 + g) -21 = (-10 * g + g * g) -21 = (-10g + g2) Solving -21 = -10g + g2 Solving for variable 'g'. Reorder the terms: -21 + 10g + -1g2 = -10g + 10g + g2 + -1g2 Combine like terms: -10g + 10g = 0 -21 + 10g + -1g2 = 0 + g2 + -1g2 -21 + 10g + -1g2 = g2 + -1g2 Combine like terms: g2 + -1g2 = 0 -21 + 10g + -1g2 = 0 Factor a trinomial. (-7 + g)(3 + -1g) = 0Subproblem 1
Set the factor '(-7 + g)' equal to zero and attempt to solve: Simplifying -7 + g = 0 Solving -7 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + g = 0 + 7 g = 0 + 7 Combine like terms: 0 + 7 = 7 g = 7 Simplifying g = 7Subproblem 2
Set the factor '(3 + -1g)' equal to zero and attempt to solve: Simplifying 3 + -1g = 0 Solving 3 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1g = 0 + -3 -1g = 0 + -3 Combine like terms: 0 + -3 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3Solution
g = {7, 3}
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