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Simplifying -32s2 + 32s + 42 = 0 Reorder the terms: 42 + 32s + -32s2 = 0 Solving 42 + 32s + -32s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(21 + 16s + -16s2) = 0 Factor a trinomial. 2((7 + -4s)(3 + 4s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Subproblem 2
Set the factor '(3 + 4s)' equal to zero and attempt to solve: Simplifying 3 + 4s = 0 Solving 3 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4s = 0 + -3 4s = 0 + -3 Combine like terms: 0 + -3 = -3 4s = -3 Divide each side by '4'. s = -0.75 Simplifying s = -0.75Solution
s = {1.75, -0.75}
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