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Simplifying 63s2 + 20s + -3 = 0 Reorder the terms: -3 + 20s + 63s2 = 0 Solving -3 + 20s + 63s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -7s)(1 + -9s) = 0Subproblem 1
Set the factor '(-3 + -7s)' equal to zero and attempt to solve: Simplifying -3 + -7s = 0 Solving -3 + -7s = 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 + -7s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7s = 0 + 3 -7s = 0 + 3 Combine like terms: 0 + 3 = 3 -7s = 3 Divide each side by '-7'. s = -0.4285714286 Simplifying s = -0.4285714286Subproblem 2
Set the factor '(1 + -9s)' equal to zero and attempt to solve: Simplifying 1 + -9s = 0 Solving 1 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9s = 0 + -1 -9s = 0 + -1 Combine like terms: 0 + -1 = -1 -9s = -1 Divide each side by '-9'. s = 0.1111111111 Simplifying s = 0.1111111111Solution
s = {-0.4285714286, 0.1111111111}
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