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Simplifying (9g + 5)(4g + -3) = 0 Reorder the terms: (5 + 9g)(4g + -3) = 0 Reorder the terms: (5 + 9g)(-3 + 4g) = 0 Multiply (5 + 9g) * (-3 + 4g) (5(-3 + 4g) + 9g * (-3 + 4g)) = 0 ((-3 * 5 + 4g * 5) + 9g * (-3 + 4g)) = 0 ((-15 + 20g) + 9g * (-3 + 4g)) = 0 (-15 + 20g + (-3 * 9g + 4g * 9g)) = 0 (-15 + 20g + (-27g + 36g2)) = 0 Combine like terms: 20g + -27g = -7g (-15 + -7g + 36g2) = 0 Solving -15 + -7g + 36g2 = 0 Solving for variable 'g'. Factor a trinomial. (-5 + -9g)(3 + -4g) = 0Subproblem 1
Set the factor '(-5 + -9g)' equal to zero and attempt to solve: Simplifying -5 + -9g = 0 Solving -5 + -9g = 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 + -9g = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9g = 0 + 5 -9g = 0 + 5 Combine like terms: 0 + 5 = 5 -9g = 5 Divide each side by '-9'. g = -0.5555555556 Simplifying g = -0.5555555556Subproblem 2
Set the factor '(3 + -4g)' equal to zero and attempt to solve: Simplifying 3 + -4g = 0 Solving 3 + -4g = 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 + -4g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4g = 0 + -3 -4g = 0 + -3 Combine like terms: 0 + -3 = -3 -4g = -3 Divide each side by '-4'. g = 0.75 Simplifying g = 0.75Solution
g = {-0.5555555556, 0.75}
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