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Simplifying 6s4 + -9s2 + -2s4 = 0 Reorder the terms: -9s2 + 6s4 + -2s4 = 0 Combine like terms: 6s4 + -2s4 = 4s4 -9s2 + 4s4 = 0 Solving -9s2 + 4s4 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 's2'. s2(-9 + 4s2) = 0 Factor a difference between two squares. s2((3 + 2s)(-3 + 2s)) = 0Subproblem 1
Set the factor 's2' equal to zero and attempt to solve: Simplifying s2 = 0 Solving s2 = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s2 = 0 Take the square root of each side: s = {0}Subproblem 2
Set the factor '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Divide each side by '2'. s = -1.5 Simplifying s = -1.5Subproblem 3
Set the factor '(-3 + 2s)' equal to zero and attempt to solve: Simplifying -3 + 2s = 0 Solving -3 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2s = 0 + 3 2s = 0 + 3 Combine like terms: 0 + 3 = 3 2s = 3 Divide each side by '2'. s = 1.5 Simplifying s = 1.5Solution
s = {0, -1.5, 1.5}
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