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Simplifying 49w2 + -112wg + 64g2 = 0 Reorder the terms: -112gw + 64g2 + 49w2 = 0 Solving -112gw + 64g2 + 49w2 = 0 Solving for variable 'g'. Factor a trinomial. (8g + -7w)(8g + -7w) = 0Subproblem 1
Set the factor '(8g + -7w)' equal to zero and attempt to solve: Simplifying 8g + -7w = 0 Solving 8g + -7w = 0 Move all terms containing g to the left, all other terms to the right. Add '7w' to each side of the equation. 8g + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 8g + 0 = 0 + 7w 8g = 0 + 7w Remove the zero: 8g = 7w Divide each side by '8'. g = 0.875w Simplifying g = 0.875wSubproblem 2
Set the factor '(8g + -7w)' equal to zero and attempt to solve: Simplifying 8g + -7w = 0 Solving 8g + -7w = 0 Move all terms containing g to the left, all other terms to the right. Add '7w' to each side of the equation. 8g + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 8g + 0 = 0 + 7w 8g = 0 + 7w Remove the zero: 8g = 7w Divide each side by '8'. g = 0.875w Simplifying g = 0.875wSolution
g = {0.875w, 0.875w}
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