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Simplifying 4w + 40w2 + -44 = 0 Reorder the terms: -44 + 4w + 40w2 = 0 Solving -44 + 4w + 40w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4'. 4(-11 + w + 10w2) = 0 Factor a trinomial. 4((-11 + -10w)(1 + -1w)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-11 + -10w)' equal to zero and attempt to solve: Simplifying -11 + -10w = 0 Solving -11 + -10w = 0 Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -10w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -10w = 0 + 11 -10w = 0 + 11 Combine like terms: 0 + 11 = 11 -10w = 11 Divide each side by '-10'. w = -1.1 Simplifying w = -1.1Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve: Simplifying 1 + -1w = 0 Solving 1 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0 + -1 -1w = 0 + -1 Combine like terms: 0 + -1 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1Solution
w = {-1.1, 1}
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