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Simplifying (3g + -7)(g + 6) = 0 Reorder the terms: (-7 + 3g)(g + 6) = 0 Reorder the terms: (-7 + 3g)(6 + g) = 0 Multiply (-7 + 3g) * (6 + g) (-7(6 + g) + 3g * (6 + g)) = 0 ((6 * -7 + g * -7) + 3g * (6 + g)) = 0 ((-42 + -7g) + 3g * (6 + g)) = 0 (-42 + -7g + (6 * 3g + g * 3g)) = 0 (-42 + -7g + (18g + 3g2)) = 0 Combine like terms: -7g + 18g = 11g (-42 + 11g + 3g2) = 0 Solving -42 + 11g + 3g2 = 0 Solving for variable 'g'. Factor a trinomial. (-6 + -1g)(7 + -3g) = 0Subproblem 1
Set the factor '(-6 + -1g)' equal to zero and attempt to solve: Simplifying -6 + -1g = 0 Solving -6 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1g = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1g = 0 + 6 -1g = 0 + 6 Combine like terms: 0 + 6 = 6 -1g = 6 Divide each side by '-1'. g = -6 Simplifying g = -6Subproblem 2
Set the factor '(7 + -3g)' equal to zero and attempt to solve: Simplifying 7 + -3g = 0 Solving 7 + -3g = 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 + -3g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3g = 0 + -7 -3g = 0 + -7 Combine like terms: 0 + -7 = -7 -3g = -7 Divide each side by '-3'. g = 2.333333333 Simplifying g = 2.333333333Solution
g = {-6, 2.333333333}
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