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Simplifying (10s + 7)(3s + -9) = 0 Reorder the terms: (7 + 10s)(3s + -9) = 0 Reorder the terms: (7 + 10s)(-9 + 3s) = 0 Multiply (7 + 10s) * (-9 + 3s) (7(-9 + 3s) + 10s * (-9 + 3s)) = 0 ((-9 * 7 + 3s * 7) + 10s * (-9 + 3s)) = 0 ((-63 + 21s) + 10s * (-9 + 3s)) = 0 (-63 + 21s + (-9 * 10s + 3s * 10s)) = 0 (-63 + 21s + (-90s + 30s2)) = 0 Combine like terms: 21s + -90s = -69s (-63 + -69s + 30s2) = 0 Solving -63 + -69s + 30s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + -23s + 10s2) = 0 Factor a trinomial. 3((-7 + -10s)(3 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -10s)' equal to zero and attempt to solve: Simplifying -7 + -10s = 0 Solving -7 + -10s = 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 + -10s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10s = 0 + 7 -10s = 0 + 7 Combine like terms: 0 + 7 = 7 -10s = 7 Divide each side by '-10'. s = -0.7 Simplifying s = -0.7Subproblem 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 = {-0.7, 3}
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