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Simplifying (w + 3) * w = 70 Reorder the terms: (3 + w) * w = 70 Reorder the terms for easier multiplication: w(3 + w) = 70 (3 * w + w * w) = 70 (3w + w2) = 70 Solving 3w + w2 = 70 Solving for variable 'w'. Reorder the terms: -70 + 3w + w2 = 70 + -70 Combine like terms: 70 + -70 = 0 -70 + 3w + w2 = 0 Factor a trinomial. (-10 + -1w)(7 + -1w) = 0Subproblem 1
Set the factor '(-10 + -1w)' equal to zero and attempt to solve: Simplifying -10 + -1w = 0 Solving -10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1w = 0 + 10 -1w = 0 + 10 Combine like terms: 0 + 10 = 10 -1w = 10 Divide each side by '-1'. w = -10 Simplifying w = -10Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {-10, 7}
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