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Simplifying 5g2 + -14g + 8 = 0 Reorder the terms: 8 + -14g + 5g2 = 0 Solving 8 + -14g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + -5g)(2 + -1g) = 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 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 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 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Solution
g = {0.8, 2}
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