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Simplifying (11s + 7)(4s + -7) = 0 Reorder the terms: (7 + 11s)(4s + -7) = 0 Reorder the terms: (7 + 11s)(-7 + 4s) = 0 Multiply (7 + 11s) * (-7 + 4s) (7(-7 + 4s) + 11s * (-7 + 4s)) = 0 ((-7 * 7 + 4s * 7) + 11s * (-7 + 4s)) = 0 ((-49 + 28s) + 11s * (-7 + 4s)) = 0 (-49 + 28s + (-7 * 11s + 4s * 11s)) = 0 (-49 + 28s + (-77s + 44s2)) = 0 Combine like terms: 28s + -77s = -49s (-49 + -49s + 44s2) = 0 Solving -49 + -49s + 44s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -11s)(7 + -4s) = 0Subproblem 1
Set the factor '(-7 + -11s)' equal to zero and attempt to solve: Simplifying -7 + -11s = 0 Solving -7 + -11s = 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 + -11s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11s = 0 + 7 -11s = 0 + 7 Combine like terms: 0 + 7 = 7 -11s = 7 Divide each side by '-11'. s = -0.6363636364 Simplifying s = -0.6363636364Subproblem 2
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 = 1.75Solution
s = {-0.6363636364, 1.75}
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