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Simplifying 56s2 + -19s = 15 Reorder the terms: -19s + 56s2 = 15 Solving -19s + 56s2 = 15 Solving for variable 's'. Reorder the terms: -15 + -19s + 56s2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -19s + 56s2 = 0 Factor a trinomial. (-3 + -8s)(5 + -7s) = 0Subproblem 1
Set the factor '(-3 + -8s)' equal to zero and attempt to solve: Simplifying -3 + -8s = 0 Solving -3 + -8s = 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 + -8s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8s = 0 + 3 -8s = 0 + 3 Combine like terms: 0 + 3 = 3 -8s = 3 Divide each side by '-8'. s = -0.375 Simplifying s = -0.375Subproblem 2
Set the factor '(5 + -7s)' equal to zero and attempt to solve: Simplifying 5 + -7s = 0 Solving 5 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7s = 0 + -5 -7s = 0 + -5 Combine like terms: 0 + -5 = -5 -7s = -5 Divide each side by '-7'. s = 0.7142857143 Simplifying s = 0.7142857143Solution
s = {-0.375, 0.7142857143}
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