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Simplifying 4w2 + 12wg + 9g2 = 0 Reorder the terms: 12gw + 9g2 + 4w2 = 0 Solving 12gw + 9g2 + 4w2 = 0 Solving for variable 'g'. Factor a trinomial. (3g + 2w)(3g + 2w) = 0Subproblem 1
Set the factor '(3g + 2w)' equal to zero and attempt to solve: Simplifying 3g + 2w = 0 Solving 3g + 2w = 0 Move all terms containing g to the left, all other terms to the right. Add '-2w' to each side of the equation. 3g + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 3g + 0 = 0 + -2w 3g = 0 + -2w Remove the zero: 3g = -2w Divide each side by '3'. g = -0.6666666667w Simplifying g = -0.6666666667wSubproblem 2
Set the factor '(3g + 2w)' equal to zero and attempt to solve: Simplifying 3g + 2w = 0 Solving 3g + 2w = 0 Move all terms containing g to the left, all other terms to the right. Add '-2w' to each side of the equation. 3g + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 3g + 0 = 0 + -2w 3g = 0 + -2w Remove the zero: 3g = -2w Divide each side by '3'. g = -0.6666666667w Simplifying g = -0.6666666667wSolution
g = {-0.6666666667w, -0.6666666667w}
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