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Simplifying 100g2 + -140g + 49 = 0 Reorder the terms: 49 + -140g + 100g2 = 0 Solving 49 + -140g + 100g2 = 0 Solving for variable 'g'. Factor a trinomial. (7 + -10g)(7 + -10g) = 0Subproblem 1
Set the factor '(7 + -10g)' equal to zero and attempt to solve: Simplifying 7 + -10g = 0 Solving 7 + -10g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10g = 0 + -7 -10g = 0 + -7 Combine like terms: 0 + -7 = -7 -10g = -7 Divide each side by '-10'. g = 0.7 Simplifying g = 0.7Subproblem 2
Set the factor '(7 + -10g)' equal to zero and attempt to solve: Simplifying 7 + -10g = 0 Solving 7 + -10g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10g = 0 + -7 -10g = 0 + -7 Combine like terms: 0 + -7 = -7 -10g = -7 Divide each side by '-10'. g = 0.7 Simplifying g = 0.7Solution
g = {0.7, 0.7}
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