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Simplifying 36w2 + 84wd + 49d2 = 0 Reorder the terms: 84dw + 49d2 + 36w2 = 0 Solving 84dw + 49d2 + 36w2 = 0 Solving for variable 'd'. Factor a trinomial. (7d + 6w)(7d + 6w) = 0Subproblem 1
Set the factor '(7d + 6w)' equal to zero and attempt to solve: Simplifying 7d + 6w = 0 Solving 7d + 6w = 0 Move all terms containing d to the left, all other terms to the right. Add '-6w' to each side of the equation. 7d + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 7d + 0 = 0 + -6w 7d = 0 + -6w Remove the zero: 7d = -6w Divide each side by '7'. d = -0.8571428571w Simplifying d = -0.8571428571wSubproblem 2
Set the factor '(7d + 6w)' equal to zero and attempt to solve: Simplifying 7d + 6w = 0 Solving 7d + 6w = 0 Move all terms containing d to the left, all other terms to the right. Add '-6w' to each side of the equation. 7d + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 7d + 0 = 0 + -6w 7d = 0 + -6w Remove the zero: 7d = -6w Divide each side by '7'. d = -0.8571428571w Simplifying d = -0.8571428571wSolution
d = {-0.8571428571w, -0.8571428571w}
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