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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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