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Simplifying (5g + 3)(g + -3) = 0 Reorder the terms: (3 + 5g)(g + -3) = 0 Reorder the terms: (3 + 5g)(-3 + g) = 0 Multiply (3 + 5g) * (-3 + g) (3(-3 + g) + 5g * (-3 + g)) = 0 ((-3 * 3 + g * 3) + 5g * (-3 + g)) = 0 ((-9 + 3g) + 5g * (-3 + g)) = 0 (-9 + 3g + (-3 * 5g + g * 5g)) = 0 (-9 + 3g + (-15g + 5g2)) = 0 Combine like terms: 3g + -15g = -12g (-9 + -12g + 5g2) = 0 Solving -9 + -12g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -5g)(3 + -1g) = 0Subproblem 1
Set the factor '(-3 + -5g)' equal to zero and attempt to solve: Simplifying -3 + -5g = 0 Solving -3 + -5g = 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 + -5g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5g = 0 + 3 -5g = 0 + 3 Combine like terms: 0 + 3 = 3 -5g = 3 Divide each side by '-5'. g = -0.6 Simplifying g = -0.6Subproblem 2
Set the factor '(3 + -1g)' equal to zero and attempt to solve: Simplifying 3 + -1g = 0 Solving 3 + -1g = 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 + -1g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1g = 0 + -3 -1g = 0 + -3 Combine like terms: 0 + -3 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3Solution
g = {-0.6, 3}
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