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Simplifying w2 + -17wx + 70x2 = 0 Reorder the terms: -17wx + w2 + 70x2 = 0 Solving -17wx + w2 + 70x2 = 0 Solving for variable 'w'. Factor a trinomial. (w + -10x)(w + -7x) = 0Subproblem 1
Set the factor '(w + -10x)' equal to zero and attempt to solve: Simplifying w + -10x = 0 Solving w + -10x = 0 Move all terms containing w to the left, all other terms to the right. Add '10x' to each side of the equation. w + -10x + 10x = 0 + 10x Combine like terms: -10x + 10x = 0 w + 0 = 0 + 10x w = 0 + 10x Remove the zero: w = 10x Simplifying w = 10xSubproblem 2
Set the factor '(w + -7x)' equal to zero and attempt to solve: Simplifying w + -7x = 0 Solving w + -7x = 0 Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 w + 0 = 0 + 7x w = 0 + 7x Remove the zero: w = 7x Simplifying w = 7xSolution
w = {10x, 7x}
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