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Simplifying w2 + 14wx + 49x2 = 0 Reorder the terms: 14wx + w2 + 49x2 = 0 Solving 14wx + w2 + 49x2 = 0 Solving for variable 'w'. Factor a trinomial. (w + 7x)(w + 7x) = 0Subproblem 1
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 = -7xSubproblem 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 = {-7x, -7x}
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