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Simplifying 36s2 + 60sg + 25g2 = 0 Reorder the terms: 60gs + 25g2 + 36s2 = 0 Solving 60gs + 25g2 + 36s2 = 0 Solving for variable 'g'. Factor a trinomial. (5g + 6s)(5g + 6s) = 0Subproblem 1
Set the factor '(5g + 6s)' equal to zero and attempt to solve: Simplifying 5g + 6s = 0 Solving 5g + 6s = 0 Move all terms containing g to the left, all other terms to the right. Add '-6s' to each side of the equation. 5g + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 5g + 0 = 0 + -6s 5g = 0 + -6s Remove the zero: 5g = -6s Divide each side by '5'. g = -1.2s Simplifying g = -1.2sSubproblem 2
Set the factor '(5g + 6s)' equal to zero and attempt to solve: Simplifying 5g + 6s = 0 Solving 5g + 6s = 0 Move all terms containing g to the left, all other terms to the right. Add '-6s' to each side of the equation. 5g + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 5g + 0 = 0 + -6s 5g = 0 + -6s Remove the zero: 5g = -6s Divide each side by '5'. g = -1.2s Simplifying g = -1.2sSolution
g = {-1.2s, -1.2s}
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