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Simplifying 49w2 + -70w + 25 = 0 Reorder the terms: 25 + -70w + 49w2 = 0 Solving 25 + -70w + 49w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + -7w)(5 + -7w) = 0Subproblem 1
Set the factor '(5 + -7w)' equal to zero and attempt to solve: Simplifying 5 + -7w = 0 Solving 5 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = 0 + -5 -7w = 0 + -5 Combine like terms: 0 + -5 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143Subproblem 2
Set the factor '(5 + -7w)' equal to zero and attempt to solve: Simplifying 5 + -7w = 0 Solving 5 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7w = 0 + -5 -7w = 0 + -5 Combine like terms: 0 + -5 = -5 -7w = -5 Divide each side by '-7'. w = 0.7142857143 Simplifying w = 0.7142857143Solution
w = {0.7142857143, 0.7142857143}
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