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Simplifying (-4s + -7)(-2s + 5) = 0 Reorder the terms: (-7 + -4s)(-2s + 5) = 0 Reorder the terms: (-7 + -4s)(5 + -2s) = 0 Multiply (-7 + -4s) * (5 + -2s) (-7(5 + -2s) + -4s * (5 + -2s)) = 0 ((5 * -7 + -2s * -7) + -4s * (5 + -2s)) = 0 ((-35 + 14s) + -4s * (5 + -2s)) = 0 (-35 + 14s + (5 * -4s + -2s * -4s)) = 0 (-35 + 14s + (-20s + 8s2)) = 0 Combine like terms: 14s + -20s = -6s (-35 + -6s + 8s2) = 0 Solving -35 + -6s + 8s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -4s)(5 + -2s) = 0Subproblem 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 '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 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 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5Solution
s = {-1.75, 2.5}
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