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Simplifying 6s3(-2s2 + 4s + -10) = 0 Reorder the terms: 6s3(-10 + 4s + -2s2) = 0 (-10 * 6s3 + 4s * 6s3 + -2s2 * 6s3) = 0 (-60s3 + 24s4 + -12s5) = 0 Solving -60s3 + 24s4 + -12s5 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '12s3'. 12s3(-5 + 2s + -1s2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 's3' equal to zero and attempt to solve: Simplifying s3 = 0 Solving s3 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + 2s + -1s2)' equal to zero and attempt to solve: Simplifying -5 + 2s + -1s2 = 0 Solving -5 + 2s + -1s2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -2s + s2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2s + -5 + s2 = 0 + -5 Reorder the terms: 5 + -5 + -2s + s2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s + s2 = 0 + -5 -2s + s2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2s + s2 = -5 The s term is -2s. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2s + 1 + s2 = -5 + 1 Reorder the terms: 1 + -2s + s2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2s + s2 = -4 Factor a perfect square on the left side: (s + -1)(s + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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