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Simplifying (4s + -3)(3s + -4) = 0 Reorder the terms: (-3 + 4s)(3s + -4) = 0 Reorder the terms: (-3 + 4s)(-4 + 3s) = 0 Multiply (-3 + 4s) * (-4 + 3s) (-3(-4 + 3s) + 4s * (-4 + 3s)) = 0 ((-4 * -3 + 3s * -3) + 4s * (-4 + 3s)) = 0 ((12 + -9s) + 4s * (-4 + 3s)) = 0 (12 + -9s + (-4 * 4s + 3s * 4s)) = 0 (12 + -9s + (-16s + 12s2)) = 0 Combine like terms: -9s + -16s = -25s (12 + -25s + 12s2) = 0 Solving 12 + -25s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (3 + -4s)(4 + -3s) = 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 '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Solution
s = {0.75, 1.333333333}
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