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Simplifying -5s2 + 45s + -70 = 0 Reorder the terms: -70 + 45s + -5s2 = 0 Solving -70 + 45s + -5s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-14 + 9s + -1s2) = 0 Factor a trinomial. 5((-7 + s)(2 + -1s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-7 + s)' equal to zero and attempt to solve: Simplifying -7 + s = 0 Solving -7 + s = 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 + s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + s = 0 + 7 s = 0 + 7 Combine like terms: 0 + 7 = 7 s = 7 Simplifying s = 7Subproblem 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 = {7, 2}
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