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Simplifying 5s(3s) + -5s(2) = 0 Remove parenthesis around (3s) 5s * 3s + -5s(2) = 0 Reorder the terms for easier multiplication: 5 * 3s * s + -5s(2) = 0 Multiply 5 * 3 15s * s + -5s(2) = 0 Multiply s * s 15s2 + -5s(2) = 0 Reorder the terms for easier multiplication: 15s2 + -5 * 2s = 0 Multiply -5 * 2 15s2 + -10s = 0 Reorder the terms: -10s + 15s2 = 0 Solving -10s + 15s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(-2 + 3s) = 0 Ignore the factor 5.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 '(-2 + 3s)' equal to zero and attempt to solve: Simplifying -2 + 3s = 0 Solving -2 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3s = 0 + 2 3s = 0 + 2 Combine like terms: 0 + 2 = 2 3s = 2 Divide each side by '3'. s = 0.6666666667 Simplifying s = 0.6666666667Solution
s = {0, 0.6666666667}
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