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Simplifying (7s + 4)(3s + -9) = 0 Reorder the terms: (4 + 7s)(3s + -9) = 0 Reorder the terms: (4 + 7s)(-9 + 3s) = 0 Multiply (4 + 7s) * (-9 + 3s) (4(-9 + 3s) + 7s * (-9 + 3s)) = 0 ((-9 * 4 + 3s * 4) + 7s * (-9 + 3s)) = 0 ((-36 + 12s) + 7s * (-9 + 3s)) = 0 (-36 + 12s + (-9 * 7s + 3s * 7s)) = 0 (-36 + 12s + (-63s + 21s2)) = 0 Combine like terms: 12s + -63s = -51s (-36 + -51s + 21s2) = 0 Solving -36 + -51s + 21s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -17s + 7s2) = 0 Factor a trinomial. 3((-4 + -7s)(3 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -7s)' equal to zero and attempt to solve: Simplifying -4 + -7s = 0 Solving -4 + -7s = 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 + -7s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7s = 0 + 4 -7s = 0 + 4 Combine like terms: 0 + 4 = 4 -7s = 4 Divide each side by '-7'. s = -0.5714285714 Simplifying s = -0.5714285714Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 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 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3Solution
s = {-0.5714285714, 3}
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