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Simplifying 49s2 + 36w2 + 84sw = 0 Reorder the terms: 84sw + 49s2 + 36w2 = 0 Solving 84sw + 49s2 + 36w2 = 0 Solving for variable 's'. Factor a trinomial. (7s + 6w)(7s + 6w) = 0Subproblem 1
Set the factor '(7s + 6w)' equal to zero and attempt to solve: Simplifying 7s + 6w = 0 Solving 7s + 6w = 0 Move all terms containing s to the left, all other terms to the right. Add '-6w' to each side of the equation. 7s + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 7s + 0 = 0 + -6w 7s = 0 + -6w Remove the zero: 7s = -6w Divide each side by '7'. s = -0.8571428571w Simplifying s = -0.8571428571wSubproblem 2
Set the factor '(7s + 6w)' equal to zero and attempt to solve: Simplifying 7s + 6w = 0 Solving 7s + 6w = 0 Move all terms containing s to the left, all other terms to the right. Add '-6w' to each side of the equation. 7s + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 7s + 0 = 0 + -6w 7s = 0 + -6w Remove the zero: 7s = -6w Divide each side by '7'. s = -0.8571428571w Simplifying s = -0.8571428571wSolution
s = {-0.8571428571w, -0.8571428571w}
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