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Simplifying (3 + -2g)(7 + -1g) = 0 Multiply (3 + -2g) * (7 + -1g) (3(7 + -1g) + -2g * (7 + -1g)) = 0 ((7 * 3 + -1g * 3) + -2g * (7 + -1g)) = 0 ((21 + -3g) + -2g * (7 + -1g)) = 0 (21 + -3g + (7 * -2g + -1g * -2g)) = 0 (21 + -3g + (-14g + 2g2)) = 0 Combine like terms: -3g + -14g = -17g (21 + -17g + 2g2) = 0 Solving 21 + -17g + 2g2 = 0 Solving for variable 'g'. Factor a trinomial. (3 + -2g)(7 + -1g) = 0Subproblem 1
Set the factor '(3 + -2g)' equal to zero and attempt to solve: Simplifying 3 + -2g = 0 Solving 3 + -2g = 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 + -2g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2g = 0 + -3 -2g = 0 + -3 Combine like terms: 0 + -3 = -3 -2g = -3 Divide each side by '-2'. g = 1.5 Simplifying g = 1.5Subproblem 2
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 = 7Solution
g = {1.5, 7}
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