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Simplifying 8g2 + -38g + 9 = 0 Reorder the terms: 9 + -38g + 8g2 = 0 Solving 9 + -38g + 8g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + -4g)(9 + -2g) = 0Subproblem 1
Set the factor '(1 + -4g)' equal to zero and attempt to solve: Simplifying 1 + -4g = 0 Solving 1 + -4g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4g = 0 + -1 -4g = 0 + -1 Combine like terms: 0 + -1 = -1 -4g = -1 Divide each side by '-4'. g = 0.25 Simplifying g = 0.25Subproblem 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 = {0.25, 4.5}
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