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Simplifying (3 + -2g)(5 + -4g) = 0 Multiply (3 + -2g) * (5 + -4g) (3(5 + -4g) + -2g * (5 + -4g)) = 0 ((5 * 3 + -4g * 3) + -2g * (5 + -4g)) = 0 ((15 + -12g) + -2g * (5 + -4g)) = 0 (15 + -12g + (5 * -2g + -4g * -2g)) = 0 (15 + -12g + (-10g + 8g2)) = 0 Combine like terms: -12g + -10g = -22g (15 + -22g + 8g2) = 0 Solving 15 + -22g + 8g2 = 0 Solving for variable 'g'. Factor a trinomial. (5 + -4g)(3 + -2g) = 0Subproblem 1
Set the factor '(5 + -4g)' equal to zero and attempt to solve: Simplifying 5 + -4g = 0 Solving 5 + -4g = 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 + -4g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4g = 0 + -5 -4g = 0 + -5 Combine like terms: 0 + -5 = -5 -4g = -5 Divide each side by '-4'. g = 1.25 Simplifying g = 1.25Subproblem 2
Set the factor '(3 + -2g)' equal to zero and attempt to solve: Simplifying 3 + -2g = 0 Solving 3 + -2g = 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 + -2g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2g = 0 + -3 -2g = 0 + -3 Combine like terms: 0 + -3 = -3 -2g = -3 Divide each side by '-2'. g = 1.5 Simplifying g = 1.5Solution
g = {1.25, 1.5}
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