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Simplifying g(3g + 11) = 70 Reorder the terms: g(11 + 3g) = 70 (11 * g + 3g * g) = 70 (11g + 3g2) = 70 Solving 11g + 3g2 = 70 Solving for variable 'g'. Reorder the terms: -70 + 11g + 3g2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + 11g + 3g2 = 0 Factor a trinomial. (-7 + -1g)(10 + -3g) = 0Subproblem 1
Set the factor '(-7 + -1g)' equal to zero and attempt to solve: Simplifying -7 + -1g = 0 Solving -7 + -1g = 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 + -1g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1g = 0 + 7 -1g = 0 + 7 Combine like terms: 0 + 7 = 7 -1g = 7 Divide each side by '-1'. g = -7 Simplifying g = -7Subproblem 2
Set the factor '(10 + -3g)' equal to zero and attempt to solve: Simplifying 10 + -3g = 0 Solving 10 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3g = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3g = 0 + -10 -3g = 0 + -10 Combine like terms: 0 + -10 = -10 -3g = -10 Divide each side by '-3'. g = 3.333333333 Simplifying g = 3.333333333Solution
g = {-7, 3.333333333}
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