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Simplifying (w + -12)(w + -12) = 0 Reorder the terms: (-12 + w)(w + -12) = 0 Reorder the terms: (-12 + w)(-12 + w) = 0 Multiply (-12 + w) * (-12 + w) (-12(-12 + w) + w(-12 + w)) = 0 ((-12 * -12 + w * -12) + w(-12 + w)) = 0 ((144 + -12w) + w(-12 + w)) = 0 (144 + -12w + (-12 * w + w * w)) = 0 (144 + -12w + (-12w + w2)) = 0 Combine like terms: -12w + -12w = -24w (144 + -24w + w2) = 0 Solving 144 + -24w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (12 + -1w)(12 + -1w) = 0Subproblem 1
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Subproblem 2
Set the factor '(12 + -1w)' equal to zero and attempt to solve: Simplifying 12 + -1w = 0 Solving 12 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 0 + -12 -1w = 0 + -12 Combine like terms: 0 + -12 = -12 -1w = -12 Divide each side by '-1'. w = 12 Simplifying w = 12Solution
w = {12, 12}
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