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Simplifying (4 + -5g)(3g + 2) = 0 Reorder the terms: (4 + -5g)(2 + 3g) = 0 Multiply (4 + -5g) * (2 + 3g) (4(2 + 3g) + -5g * (2 + 3g)) = 0 ((2 * 4 + 3g * 4) + -5g * (2 + 3g)) = 0 ((8 + 12g) + -5g * (2 + 3g)) = 0 (8 + 12g + (2 * -5g + 3g * -5g)) = 0 (8 + 12g + (-10g + -15g2)) = 0 Combine like terms: 12g + -10g = 2g (8 + 2g + -15g2) = 0 Solving 8 + 2g + -15g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -5g)(2 + 3g) = 0Subproblem 1
Set the factor '(4 + -5g)' equal to zero and attempt to solve: Simplifying 4 + -5g = 0 Solving 4 + -5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5g = 0 + -4 -5g = 0 + -4 Combine like terms: 0 + -4 = -4 -5g = -4 Divide each side by '-5'. g = 0.8 Simplifying g = 0.8Subproblem 2
Set the factor '(2 + 3g)' equal to zero and attempt to solve: Simplifying 2 + 3g = 0 Solving 2 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3g = 0 + -2 3g = 0 + -2 Combine like terms: 0 + -2 = -2 3g = -2 Divide each side by '3'. g = -0.6666666667 Simplifying g = -0.6666666667Solution
g = {0.8, -0.6666666667}
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