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Simplifying (w + -2)(w + -3) = 6 Reorder the terms: (-2 + w)(w + -3) = 6 Reorder the terms: (-2 + w)(-3 + w) = 6 Multiply (-2 + w) * (-3 + w) (-2(-3 + w) + w(-3 + w)) = 6 ((-3 * -2 + w * -2) + w(-3 + w)) = 6 ((6 + -2w) + w(-3 + w)) = 6 (6 + -2w + (-3 * w + w * w)) = 6 (6 + -2w + (-3w + w2)) = 6 Combine like terms: -2w + -3w = -5w (6 + -5w + w2) = 6 Add '-6' to each side of the equation. 6 + -5w + -6 + w2 = 6 + -6 Reorder the terms: 6 + -6 + -5w + w2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -5w + w2 = 6 + -6 -5w + w2 = 6 + -6 Combine like terms: 6 + -6 = 0 -5w + w2 = 0 Solving -5w + w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), 'w'. w(-5 + w) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 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 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5Solution
w = {0, 5}
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