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Simplifying 25s2 + 90sg + 81g2 = 0 Reorder the terms: 90gs + 81g2 + 25s2 = 0 Solving 90gs + 81g2 + 25s2 = 0 Solving for variable 'g'. Factor a trinomial. (9g + 5s)(9g + 5s) = 0Subproblem 1
Set the factor '(9g + 5s)' equal to zero and attempt to solve: Simplifying 9g + 5s = 0 Solving 9g + 5s = 0 Move all terms containing g to the left, all other terms to the right. Add '-5s' to each side of the equation. 9g + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 9g + 0 = 0 + -5s 9g = 0 + -5s Remove the zero: 9g = -5s Divide each side by '9'. g = -0.5555555556s Simplifying g = -0.5555555556sSubproblem 2
Set the factor '(9g + 5s)' equal to zero and attempt to solve: Simplifying 9g + 5s = 0 Solving 9g + 5s = 0 Move all terms containing g to the left, all other terms to the right. Add '-5s' to each side of the equation. 9g + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 9g + 0 = 0 + -5s 9g = 0 + -5s Remove the zero: 9g = -5s Divide each side by '9'. g = -0.5555555556s Simplifying g = -0.5555555556sSolution
g = {-0.5555555556s, -0.5555555556s}
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