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Simplifying 64w2 + -144wg + 81g2 = 0 Reorder the terms: -144gw + 81g2 + 64w2 = 0 Solving -144gw + 81g2 + 64w2 = 0 Solving for variable 'g'. Factor a trinomial. (9g + -8w)(9g + -8w) = 0Subproblem 1
Set the factor '(9g + -8w)' equal to zero and attempt to solve: Simplifying 9g + -8w = 0 Solving 9g + -8w = 0 Move all terms containing g to the left, all other terms to the right. Add '8w' to each side of the equation. 9g + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9g + 0 = 0 + 8w 9g = 0 + 8w Remove the zero: 9g = 8w Divide each side by '9'. g = 0.8888888889w Simplifying g = 0.8888888889wSubproblem 2
Set the factor '(9g + -8w)' equal to zero and attempt to solve: Simplifying 9g + -8w = 0 Solving 9g + -8w = 0 Move all terms containing g to the left, all other terms to the right. Add '8w' to each side of the equation. 9g + -8w + 8w = 0 + 8w Combine like terms: -8w + 8w = 0 9g + 0 = 0 + 8w 9g = 0 + 8w Remove the zero: 9g = 8w Divide each side by '9'. g = 0.8888888889w Simplifying g = 0.8888888889wSolution
g = {0.8888888889w, 0.8888888889w}
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