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Simplifying 28s4t + 16s3t + 16s2t = 0 Reorder the terms: 16s2t + 16s3t + 28s4t = 0 Solving 16s2t + 16s3t + 28s4t = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s2t'. 4s2t(4 + 4s + 7s2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 's2t' equal to zero and attempt to solve: Simplifying s2t = 0 Solving s2t = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2t = 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 '(4 + 4s + 7s2)' equal to zero and attempt to solve: Simplifying 4 + 4s + 7s2 = 0 Solving 4 + 4s + 7s2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + 0.5714285714s + s2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 0.5714285714s + -0.5714285714 + s2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 0.5714285714s + s2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 0.5714285714s + s2 = 0 + -0.5714285714 0.5714285714s + s2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 0.5714285714s + s2 = -0.5714285714 The s term is 0.5714285714s. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714s + 0.08163265305 + s2 = -0.5714285714 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714s + s2 = -0.5714285714 + 0.08163265305 Combine like terms: -0.5714285714 + 0.08163265305 = -0.48979591835 0.08163265305 + 0.5714285714s + s2 = -0.48979591835 Factor a perfect square on the left side: (s + 0.2857142857)(s + 0.2857142857) = -0.48979591835 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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