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Simplifying (4g + -1)(6g + -1) = 0 Reorder the terms: (-1 + 4g)(6g + -1) = 0 Reorder the terms: (-1 + 4g)(-1 + 6g) = 0 Multiply (-1 + 4g) * (-1 + 6g) (-1(-1 + 6g) + 4g * (-1 + 6g)) = 0 ((-1 * -1 + 6g * -1) + 4g * (-1 + 6g)) = 0 ((1 + -6g) + 4g * (-1 + 6g)) = 0 (1 + -6g + (-1 * 4g + 6g * 4g)) = 0 (1 + -6g + (-4g + 24g2)) = 0 Combine like terms: -6g + -4g = -10g (1 + -10g + 24g2) = 0 Solving 1 + -10g + 24g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + -6g)(1 + -4g) = 0Subproblem 1
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 = 0.1666666667Subproblem 2
Set the factor '(1 + -4g)' equal to zero and attempt to solve: Simplifying 1 + -4g = 0 Solving 1 + -4g = 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 + -4g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4g = 0 + -1 -4g = 0 + -1 Combine like terms: 0 + -1 = -1 -4g = -1 Divide each side by '-4'. g = 0.25 Simplifying g = 0.25Solution
g = {0.1666666667, 0.25}
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