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Simplifying w2 + -3wg + -70g2 = 0 Reorder the terms: -3gw + -70g2 + w2 = 0 Solving -3gw + -70g2 + w2 = 0 Solving for variable 'g'. Factor a trinomial. (-7g + -1w)(10g + -1w) = 0Subproblem 1
Set the factor '(-7g + -1w)' equal to zero and attempt to solve: Simplifying -7g + -1w = 0 Solving -7g + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add 'w' to each side of the equation. -7g + -1w + w = 0 + w Combine like terms: -1w + w = 0 -7g + 0 = 0 + w -7g = 0 + w Remove the zero: -7g = w Divide each side by '-7'. g = -0.1428571429w Simplifying g = -0.1428571429wSubproblem 2
Set the factor '(10g + -1w)' equal to zero and attempt to solve: Simplifying 10g + -1w = 0 Solving 10g + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add 'w' to each side of the equation. 10g + -1w + w = 0 + w Combine like terms: -1w + w = 0 10g + 0 = 0 + w 10g = 0 + w Remove the zero: 10g = w Divide each side by '10'. g = 0.1w Simplifying g = 0.1wSolution
g = {-0.1428571429w, 0.1w}
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