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Simplifying 16w2 + 56g + 49g2 = 0 Reorder the terms: 56g + 49g2 + 16w2 = 0 Solving 56g + 49g2 + 16w2 = 0 Solving for variable 'g'. Factor a trinomial. (7g + 4w)(7g + 4w) = 0Subproblem 1
Set the factor '(7g + 4w)' equal to zero and attempt to solve: Simplifying 7g + 4w = 0 Solving 7g + 4w = 0 Move all terms containing g to the left, all other terms to the right. Add '-4w' to each side of the equation. 7g + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 7g + 0 = 0 + -4w 7g = 0 + -4w Remove the zero: 7g = -4w Divide each side by '7'. g = -0.5714285714w Simplifying g = -0.5714285714wSubproblem 2
Set the factor '(7g + 4w)' equal to zero and attempt to solve: Simplifying 7g + 4w = 0 Solving 7g + 4w = 0 Move all terms containing g to the left, all other terms to the right. Add '-4w' to each side of the equation. 7g + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 7g + 0 = 0 + -4w 7g = 0 + -4w Remove the zero: 7g = -4w Divide each side by '7'. g = -0.5714285714w Simplifying g = -0.5714285714wSolution
g = {-0.5714285714w, -0.5714285714w}
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