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Simplifying 1064 = w(w + 10) Reorder the terms: 1064 = w(10 + w) 1064 = (10 * w + w * w) 1064 = (10w + w2) Solving 1064 = 10w + w2 Solving for variable 'w'. Reorder the terms: 1064 + -10w + -1w2 = 10w + -10w + w2 + -1w2 Combine like terms: 10w + -10w = 0 1064 + -10w + -1w2 = 0 + w2 + -1w2 1064 + -10w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 1064 + -10w + -1w2 = 0 Factor a trinomial. (28 + -1w)(38 + w) = 0Subproblem 1
Set the factor '(28 + -1w)' equal to zero and attempt to solve: Simplifying 28 + -1w = 0 Solving 28 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1w = 0 + -28 -1w = 0 + -28 Combine like terms: 0 + -28 = -28 -1w = -28 Divide each side by '-1'. w = 28 Simplifying w = 28Subproblem 2
Set the factor '(38 + w)' equal to zero and attempt to solve: Simplifying 38 + w = 0 Solving 38 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + w = 0 + -38 Combine like terms: 38 + -38 = 0 0 + w = 0 + -38 w = 0 + -38 Combine like terms: 0 + -38 = -38 w = -38 Simplifying w = -38Solution
w = {28, -38}
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