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Simplifying (6g + 5)(4g + -9) = 0 Reorder the terms: (5 + 6g)(4g + -9) = 0 Reorder the terms: (5 + 6g)(-9 + 4g) = 0 Multiply (5 + 6g) * (-9 + 4g) (5(-9 + 4g) + 6g * (-9 + 4g)) = 0 ((-9 * 5 + 4g * 5) + 6g * (-9 + 4g)) = 0 ((-45 + 20g) + 6g * (-9 + 4g)) = 0 (-45 + 20g + (-9 * 6g + 4g * 6g)) = 0 (-45 + 20g + (-54g + 24g2)) = 0 Combine like terms: 20g + -54g = -34g (-45 + -34g + 24g2) = 0 Solving -45 + -34g + 24g2 = 0 Solving for variable 'g'. Factor a trinomial. (-5 + -6g)(9 + -4g) = 0Subproblem 1
Set the factor '(-5 + -6g)' equal to zero and attempt to solve: Simplifying -5 + -6g = 0 Solving -5 + -6g = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6g = 0 + 5 -6g = 0 + 5 Combine like terms: 0 + 5 = 5 -6g = 5 Divide each side by '-6'. g = -0.8333333333 Simplifying g = -0.8333333333Subproblem 2
Set the factor '(9 + -4g)' equal to zero and attempt to solve: Simplifying 9 + -4g = 0 Solving 9 + -4g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4g = 0 + -9 -4g = 0 + -9 Combine like terms: 0 + -9 = -9 -4g = -9 Divide each side by '-4'. g = 2.25 Simplifying g = 2.25Solution
g = {-0.8333333333, 2.25}
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