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Simplifying 36s2 + -28s + 27s + -21 = 0 Reorder the terms: -21 + -28s + 27s + 36s2 = 0 Combine like terms: -28s + 27s = -1s -21 + -1s + 36s2 = 0 Solving -21 + -1s + 36s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -4s)(7 + -9s) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(7 + -9s)' equal to zero and attempt to solve: Simplifying 7 + -9s = 0 Solving 7 + -9s = 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 + -9s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9s = 0 + -7 -9s = 0 + -7 Combine like terms: 0 + -7 = -7 -9s = -7 Divide each side by '-9'. s = 0.7777777778 Simplifying s = 0.7777777778Solution
s = {-0.75, 0.7777777778}
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