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Simplifying 49s2 + -14sg + g2 = 0 Reorder the terms: -14gs + g2 + 49s2 = 0 Solving -14gs + g2 + 49s2 = 0 Solving for variable 'g'. Factor a trinomial. (g + -7s)(g + -7s) = 0Subproblem 1
Set the factor '(g + -7s)' equal to zero and attempt to solve: Simplifying g + -7s = 0 Solving g + -7s = 0 Move all terms containing g to the left, all other terms to the right. Add '7s' to each side of the equation. g + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 g + 0 = 0 + 7s g = 0 + 7s Remove the zero: g = 7s Simplifying g = 7sSubproblem 2
Set the factor '(g + -7s)' equal to zero and attempt to solve: Simplifying g + -7s = 0 Solving g + -7s = 0 Move all terms containing g to the left, all other terms to the right. Add '7s' to each side of the equation. g + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 g + 0 = 0 + 7s g = 0 + 7s Remove the zero: g = 7s Simplifying g = 7sSolution
g = {7s, 7s}
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