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Simplifying 81w2 + -180wg + 100g2 = 0 Reorder the terms: -180gw + 100g2 + 81w2 = 0 Solving -180gw + 100g2 + 81w2 = 0 Solving for variable 'g'. Factor a trinomial. (10g + -9w)(10g + -9w) = 0Subproblem 1
Set the factor '(10g + -9w)' equal to zero and attempt to solve: Simplifying 10g + -9w = 0 Solving 10g + -9w = 0 Move all terms containing g to the left, all other terms to the right. Add '9w' to each side of the equation. 10g + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 10g + 0 = 0 + 9w 10g = 0 + 9w Remove the zero: 10g = 9w Divide each side by '10'. g = 0.9w Simplifying g = 0.9wSubproblem 2
Set the factor '(10g + -9w)' equal to zero and attempt to solve: Simplifying 10g + -9w = 0 Solving 10g + -9w = 0 Move all terms containing g to the left, all other terms to the right. Add '9w' to each side of the equation. 10g + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 10g + 0 = 0 + 9w 10g = 0 + 9w Remove the zero: 10g = 9w Divide each side by '10'. g = 0.9w Simplifying g = 0.9wSolution
g = {0.9w, 0.9w}
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