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Simplifying (3 + -7w)(3 + -7w) = 0 Multiply (3 + -7w) * (3 + -7w) (3(3 + -7w) + -7w * (3 + -7w)) = 0 ((3 * 3 + -7w * 3) + -7w * (3 + -7w)) = 0 ((9 + -21w) + -7w * (3 + -7w)) = 0 (9 + -21w + (3 * -7w + -7w * -7w)) = 0 (9 + -21w + (-21w + 49w2)) = 0 Combine like terms: -21w + -21w = -42w (9 + -42w + 49w2) = 0 Solving 9 + -42w + 49w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -7w)(3 + -7w) = 0Subproblem 1
Set the factor '(3 + -7w)' equal to zero and attempt to solve: Simplifying 3 + -7w = 0 Solving 3 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7w = 0 + -3 -7w = 0 + -3 Combine like terms: 0 + -3 = -3 -7w = -3 Divide each side by '-7'. w = 0.4285714286 Simplifying w = 0.4285714286Subproblem 2
Set the factor '(3 + -7w)' equal to zero and attempt to solve: Simplifying 3 + -7w = 0 Solving 3 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7w = 0 + -3 -7w = 0 + -3 Combine like terms: 0 + -3 = -3 -7w = -3 Divide each side by '-7'. w = 0.4285714286 Simplifying w = 0.4285714286Solution
w = {0.4285714286, 0.4285714286}
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