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Simplifying (w + -3)(w + -3) = 0 Reorder the terms: (-3 + w)(w + -3) = 0 Reorder the terms: (-3 + w)(-3 + w) = 0 Multiply (-3 + w) * (-3 + w) (-3(-3 + w) + w(-3 + w)) = 0 ((-3 * -3 + w * -3) + w(-3 + w)) = 0 ((9 + -3w) + w(-3 + w)) = 0 (9 + -3w + (-3 * w + w * w)) = 0 (9 + -3w + (-3w + w2)) = 0 Combine like terms: -3w + -3w = -6w (9 + -6w + w2) = 0 Solving 9 + -6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -1w)(3 + -1w) = 0Subproblem 1
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {3, 3}
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