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Simplifying 9g2 + -42g + 49 = 0 Reorder the terms: 49 + -42g + 9g2 = 0 Solving 49 + -42g + 9g2 = 0 Solving for variable 'g'. Factor a trinomial. (7 + -3g)(7 + -3g) = 0Subproblem 1
Set the factor '(7 + -3g)' equal to zero and attempt to solve: Simplifying 7 + -3g = 0 Solving 7 + -3g = 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 + -3g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3g = 0 + -7 -3g = 0 + -7 Combine like terms: 0 + -7 = -7 -3g = -7 Divide each side by '-3'. g = 2.333333333 Simplifying g = 2.333333333Subproblem 2
Set the factor '(7 + -3g)' equal to zero and attempt to solve: Simplifying 7 + -3g = 0 Solving 7 + -3g = 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 + -3g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3g = 0 + -7 -3g = 0 + -7 Combine like terms: 0 + -7 = -7 -3g = -7 Divide each side by '-3'. g = 2.333333333 Simplifying g = 2.333333333Solution
g = {2.333333333, 2.333333333}
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