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Simplifying 48w2 + 20w + -42 = 0 Reorder the terms: -42 + 20w + 48w2 = 0 Solving -42 + 20w + 48w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 10w + 24w2) = 0 Factor a trinomial. 2((-7 + -6w)(3 + -4w)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -6w)' equal to zero and attempt to solve: Simplifying -7 + -6w = 0 Solving -7 + -6w = 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 + -6w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = 0 + 7 -6w = 0 + 7 Combine like terms: 0 + 7 = 7 -6w = 7 Divide each side by '-6'. w = -1.166666667 Simplifying w = -1.166666667Subproblem 2
Set the factor '(3 + -4w)' equal to zero and attempt to solve: Simplifying 3 + -4w = 0 Solving 3 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = 0 + -3 -4w = 0 + -3 Combine like terms: 0 + -3 = -3 -4w = -3 Divide each side by '-4'. w = 0.75 Simplifying w = 0.75Solution
w = {-1.166666667, 0.75}
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