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Simplifying 9w2 + 42wg + 49g2 = 0 Reorder the terms: 42gw + 49g2 + 9w2 = 0 Solving 42gw + 49g2 + 9w2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + 3w)(7g + 3w) = 0Subproblem 1
Set the factor '(7g + 3w)' equal to zero and attempt to solve: Simplifying 7g + 3w = 0 Solving 7g + 3w = 0 Move all terms containing g to the left, all other terms to the right. Add '-3w' to each side of the equation. 7g + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7g + 0 = 0 + -3w 7g = 0 + -3w Remove the zero: 7g = -3w Divide each side by '7'. g = -0.4285714286w Simplifying g = -0.4285714286wSubproblem 2
Set the factor '(7g + 3w)' equal to zero and attempt to solve: Simplifying 7g + 3w = 0 Solving 7g + 3w = 0 Move all terms containing g to the left, all other terms to the right. Add '-3w' to each side of the equation. 7g + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7g + 0 = 0 + -3w 7g = 0 + -3w Remove the zero: 7g = -3w Divide each side by '7'. g = -0.4285714286w Simplifying g = -0.4285714286wSolution
g = {-0.4285714286w, -0.4285714286w}
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