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Simplifying s2 + 10sg + 21g2 = 0 Reorder the terms: 10gs + 21g2 + s2 = 0 Solving 10gs + 21g2 + s2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + s)(3g + s) = 0Subproblem 1
Set the factor '(7g + s)' equal to zero and attempt to solve: Simplifying 7g + s = 0 Solving 7g + s = 0 Move all terms containing g to the left, all other terms to the right. Add '-1s' to each side of the equation. 7g + s + -1s = 0 + -1s Combine like terms: s + -1s = 0 7g + 0 = 0 + -1s 7g = 0 + -1s Remove the zero: 7g = -1s Divide each side by '7'. g = -0.1428571429s Simplifying g = -0.1428571429sSubproblem 2
Set the factor '(3g + s)' equal to zero and attempt to solve: Simplifying 3g + s = 0 Solving 3g + s = 0 Move all terms containing g to the left, all other terms to the right. Add '-1s' to each side of the equation. 3g + s + -1s = 0 + -1s Combine like terms: s + -1s = 0 3g + 0 = 0 + -1s 3g = 0 + -1s Remove the zero: 3g = -1s Divide each side by '3'. g = -0.3333333333s Simplifying g = -0.3333333333sSolution
g = {-0.1428571429s, -0.3333333333s}
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