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Simplifying (2g + -9)(g + 4) = 0 Reorder the terms: (-9 + 2g)(g + 4) = 0 Reorder the terms: (-9 + 2g)(4 + g) = 0 Multiply (-9 + 2g) * (4 + g) (-9(4 + g) + 2g * (4 + g)) = 0 ((4 * -9 + g * -9) + 2g * (4 + g)) = 0 ((-36 + -9g) + 2g * (4 + g)) = 0 (-36 + -9g + (4 * 2g + g * 2g)) = 0 (-36 + -9g + (8g + 2g2)) = 0 Combine like terms: -9g + 8g = -1g (-36 + -1g + 2g2) = 0 Solving -36 + -1g + 2g2 = 0 Solving for variable 'g'. Factor a trinomial. (-4 + -1g)(9 + -2g) = 0Subproblem 1
Set the factor '(-4 + -1g)' equal to zero and attempt to solve: Simplifying -4 + -1g = 0 Solving -4 + -1g = 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 + -1g = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1g = 0 + 4 -1g = 0 + 4 Combine like terms: 0 + 4 = 4 -1g = 4 Divide each side by '-1'. g = -4 Simplifying g = -4Subproblem 2
Set the factor '(9 + -2g)' equal to zero and attempt to solve: Simplifying 9 + -2g = 0 Solving 9 + -2g = 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 + -2g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2g = 0 + -9 -2g = 0 + -9 Combine like terms: 0 + -9 = -9 -2g = -9 Divide each side by '-2'. g = 4.5 Simplifying g = 4.5Solution
g = {-4, 4.5}
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