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Simplifying 10 + 10g2 = 29g Solving 10 + 10g2 = 29g Solving for variable 'g'. Reorder the terms: 10 + -29g + 10g2 = 29g + -29g Combine like terms: 29g + -29g = 0 10 + -29g + 10g2 = 0 Factor a trinomial. (2 + -5g)(5 + -2g) = 0Subproblem 1
Set the factor '(2 + -5g)' equal to zero and attempt to solve: Simplifying 2 + -5g = 0 Solving 2 + -5g = 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 + -5g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5g = 0 + -2 -5g = 0 + -2 Combine like terms: 0 + -2 = -2 -5g = -2 Divide each side by '-5'. g = 0.4 Simplifying g = 0.4Subproblem 2
Set the factor '(5 + -2g)' equal to zero and attempt to solve: Simplifying 5 + -2g = 0 Solving 5 + -2g = 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 + -2g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2g = 0 + -5 -2g = 0 + -5 Combine like terms: 0 + -5 = -5 -2g = -5 Divide each side by '-2'. g = 2.5 Simplifying g = 2.5Solution
g = {0.4, 2.5}
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