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Simplifying (8g + -3)(7 + -3g) = 0 Reorder the terms: (-3 + 8g)(7 + -3g) = 0 Multiply (-3 + 8g) * (7 + -3g) (-3(7 + -3g) + 8g * (7 + -3g)) = 0 ((7 * -3 + -3g * -3) + 8g * (7 + -3g)) = 0 ((-21 + 9g) + 8g * (7 + -3g)) = 0 (-21 + 9g + (7 * 8g + -3g * 8g)) = 0 (-21 + 9g + (56g + -24g2)) = 0 Combine like terms: 9g + 56g = 65g (-21 + 65g + -24g2) = 0 Solving -21 + 65g + -24g2 = 0 Solving for variable 'g'. Factor a trinomial. (-7 + 3g)(3 + -8g) = 0Subproblem 1
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 = 2.333333333Subproblem 2
Set the factor '(3 + -8g)' equal to zero and attempt to solve: Simplifying 3 + -8g = 0 Solving 3 + -8g = 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 + -8g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8g = 0 + -3 -8g = 0 + -3 Combine like terms: 0 + -3 = -3 -8g = -3 Divide each side by '-8'. g = 0.375 Simplifying g = 0.375Solution
g = {2.333333333, 0.375}
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