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Simplifying 25x2 + 60xw + 36w2 = 0 Reorder the terms: 60wx + 36w2 + 25x2 = 0 Solving 60wx + 36w2 + 25x2 = 0 Solving for variable 'w'. Factor a trinomial. (6w + 5x)(6w + 5x) = 0Subproblem 1
Set the factor '(6w + 5x)' equal to zero and attempt to solve: Simplifying 6w + 5x = 0 Solving 6w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 6w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 6w + 0 = 0 + -5x 6w = 0 + -5x Remove the zero: 6w = -5x Divide each side by '6'. w = -0.8333333333x Simplifying w = -0.8333333333xSubproblem 2
Set the factor '(6w + 5x)' equal to zero and attempt to solve: Simplifying 6w + 5x = 0 Solving 6w + 5x = 0 Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 6w + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 6w + 0 = 0 + -5x 6w = 0 + -5x Remove the zero: 6w = -5x Divide each side by '6'. w = -0.8333333333x Simplifying w = -0.8333333333xSolution
w = {-0.8333333333x, -0.8333333333x}
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