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Simplifying 4s(7s + 5) = 0 Reorder the terms: 4s(5 + 7s) = 0 (5 * 4s + 7s * 4s) = 0 (20s + 28s2) = 0 Solving 20s + 28s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(5 + 7s) = 0 Ignore the factor 4.Subproblem 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 '(5 + 7s)' equal to zero and attempt to solve: Simplifying 5 + 7s = 0 Solving 5 + 7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7s = 0 + -5 7s = 0 + -5 Combine like terms: 0 + -5 = -5 7s = -5 Divide each side by '7'. s = -0.7142857143 Simplifying s = -0.7142857143Solution
s = {0, -0.7142857143}
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