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Simplifying (9s + 7)(2s + -3) = 0 Reorder the terms: (7 + 9s)(2s + -3) = 0 Reorder the terms: (7 + 9s)(-3 + 2s) = 0 Multiply (7 + 9s) * (-3 + 2s) (7(-3 + 2s) + 9s * (-3 + 2s)) = 0 ((-3 * 7 + 2s * 7) + 9s * (-3 + 2s)) = 0 ((-21 + 14s) + 9s * (-3 + 2s)) = 0 (-21 + 14s + (-3 * 9s + 2s * 9s)) = 0 (-21 + 14s + (-27s + 18s2)) = 0 Combine like terms: 14s + -27s = -13s (-21 + -13s + 18s2) = 0 Solving -21 + -13s + 18s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -9s)(3 + -2s) = 0Subproblem 1
Set the factor '(-7 + -9s)' equal to zero and attempt to solve: Simplifying -7 + -9s = 0 Solving -7 + -9s = 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 + -9s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9s = 0 + 7 -9s = 0 + 7 Combine like terms: 0 + 7 = 7 -9s = 7 Divide each side by '-9'. s = -0.7777777778 Simplifying s = -0.7777777778Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 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 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5Solution
s = {-0.7777777778, 1.5}
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