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Simplifying -10g2 + 32g = 6 Reorder the terms: 32g + -10g2 = 6 Solving 32g + -10g2 = 6 Solving for variable 'g'. Reorder the terms: -6 + 32g + -10g2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 32g + -10g2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 16g + -5g2) = 0 Factor a trinomial. 2((-3 + g)(1 + -5g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + g)' equal to zero and attempt to solve: Simplifying -3 + g = 0 Solving -3 + g = 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 + g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + g = 0 + 3 g = 0 + 3 Combine like terms: 0 + 3 = 3 g = 3 Simplifying g = 3Subproblem 2
Set the factor '(1 + -5g)' equal to zero and attempt to solve: Simplifying 1 + -5g = 0 Solving 1 + -5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5g = 0 + -1 -5g = 0 + -1 Combine like terms: 0 + -1 = -1 -5g = -1 Divide each side by '-5'. g = 0.2 Simplifying g = 0.2Solution
g = {3, 0.2}
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