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Simplifying 4s2 + 36s = 88 Reorder the terms: 36s + 4s2 = 88 Solving 36s + 4s2 = 88 Solving for variable 's'. Reorder the terms: -88 + 36s + 4s2 = 88 + -88 Combine like terms: 88 + -88 = 0 -88 + 36s + 4s2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-22 + 9s + s2) = 0 Factor a trinomial. 4((-11 + -1s)(2 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-11 + -1s)' equal to zero and attempt to solve: Simplifying -11 + -1s = 0 Solving -11 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1s = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1s = 0 + 11 -1s = 0 + 11 Combine like terms: 0 + 11 = 11 -1s = 11 Divide each side by '-1'. s = -11 Simplifying s = -11Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Solution
s = {-11, 2}
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