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Simplifying s(6s + 7) = 0 Reorder the terms: s(7 + 6s) = 0 (7 * s + 6s * s) = 0 (7s + 6s2) = 0 Solving 7s + 6s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's'. s(7 + 6s) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 2
Set the factor '(7 + 6s)' equal to zero and attempt to solve: Simplifying 7 + 6s = 0 Solving 7 + 6s = 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 + 6s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6s = 0 + -7 6s = 0 + -7 Combine like terms: 0 + -7 = -7 6s = -7 Divide each side by '6'. s = -1.166666667 Simplifying s = -1.166666667Solution
s = {0, -1.166666667}
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