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Simplifying (9g + 7)(6g + -1) = 0 Reorder the terms: (7 + 9g)(6g + -1) = 0 Reorder the terms: (7 + 9g)(-1 + 6g) = 0 Multiply (7 + 9g) * (-1 + 6g) (7(-1 + 6g) + 9g * (-1 + 6g)) = 0 ((-1 * 7 + 6g * 7) + 9g * (-1 + 6g)) = 0 ((-7 + 42g) + 9g * (-1 + 6g)) = 0 (-7 + 42g + (-1 * 9g + 6g * 9g)) = 0 (-7 + 42g + (-9g + 54g2)) = 0 Combine like terms: 42g + -9g = 33g (-7 + 33g + 54g2) = 0 Solving -7 + 33g + 54g2 = 0 Solving for variable 'g'. Factor a trinomial. (-7 + -9g)(1 + -6g) = 0Subproblem 1
Set the factor '(-7 + -9g)' equal to zero and attempt to solve: Simplifying -7 + -9g = 0 Solving -7 + -9g = 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 + -9g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9g = 0 + 7 -9g = 0 + 7 Combine like terms: 0 + 7 = 7 -9g = 7 Divide each side by '-9'. g = -0.7777777778 Simplifying g = -0.7777777778Subproblem 2
Set the factor '(1 + -6g)' equal to zero and attempt to solve: Simplifying 1 + -6g = 0 Solving 1 + -6g = 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 + -6g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6g = 0 + -1 -6g = 0 + -1 Combine like terms: 0 + -1 = -1 -6g = -1 Divide each side by '-6'. g = 0.1666666667 Simplifying g = 0.1666666667Solution
g = {-0.7777777778, 0.1666666667}
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