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Simplifying 2w2 + -28w = -98 Reorder the terms: -28w + 2w2 = -98 Solving -28w + 2w2 = -98 Solving for variable 'w'. Reorder the terms: 98 + -28w + 2w2 = -98 + 98 Combine like terms: -98 + 98 = 0 98 + -28w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -14w + w2) = 0 Factor a trinomial. 2((7 + -1w)(7 + -1w)) = 0 Ignore the factor 2.Subproblem 1
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 = 7Subproblem 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 = {7, 7}
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