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Simplifying (2 + -1w)(2 + -1w) = 0 Multiply (2 + -1w) * (2 + -1w) (2(2 + -1w) + -1w * (2 + -1w)) = 0 ((2 * 2 + -1w * 2) + -1w * (2 + -1w)) = 0 ((4 + -2w) + -1w * (2 + -1w)) = 0 (4 + -2w + (2 * -1w + -1w * -1w)) = 0 (4 + -2w + (-2w + 1w2)) = 0 Combine like terms: -2w + -2w = -4w (4 + -4w + 1w2) = 0 Solving 4 + -4w + 1w2 = 0 Solving for variable 'w'. Factor a trinomial. (2 + -1w)(2 + -1w) = 0Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Subproblem 2
Set the factor '(2 + -1w)' equal to zero and attempt to solve: Simplifying 2 + -1w = 0 Solving 2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1w = 0 + -2 -1w = 0 + -2 Combine like terms: 0 + -2 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2Solution
w = {2, 2}
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