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Simplifying [(s + 2) + 4] * x[(s + 2) + -4] = 0 Reorder the terms: [(2 + s) + 4] * x[(s + 2) + -4] = 0 Remove parenthesis around (2 + s) [2 + s + 4] * x[(s + 2) + -4] = 0 Reorder the terms: [2 + 4 + s] * x[(s + 2) + -4] = 0 Combine like terms: 2 + 4 = 6 [6 + s] * x[(s + 2) + -4] = 0 Reorder the terms: [6 + s] * x[(2 + s) + -4] = 0 Remove parenthesis around (2 + s) [6 + s] * x[2 + s + -4] = 0 Reorder the terms: [6 + s] * x[2 + -4 + s] = 0 Combine like terms: 2 + -4 = -2 [6 + s] * x[-2 + s] = 0 Reorder the terms for easier multiplication: x[6 + s][-2 + s] = 0 Multiply [6 + s] * [-2 + s] x[6[-2 + s] + s[-2 + s]] = 0 x[[-2 * 6 + s * 6] + s[-2 + s]] = 0 x[[-12 + 6s] + s[-2 + s]] = 0 x[-12 + 6s + [-2 * s + s * s]] = 0 x[-12 + 6s + [-2s + s2]] = 0 Combine like terms: 6s + -2s = 4s x[-12 + 4s + s2] = 0 [-12 * x + 4s * x + s2 * x] = 0 Reorder the terms: [4sx + s2x + -12x] = 0 [4sx + s2x + -12x] = 0 Solving 4sx + s2x + -12x = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), 'x'. x(4s + s2 + -12) = 0 Factor a trinomial. x((s + -2)(s + 6)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing s to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(s + -2)' equal to zero and attempt to solve: Simplifying s + -2 = 0 Reorder the terms: -2 + s = 0 Solving -2 + s = 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 + s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + s = 0 + 2 s = 0 + 2 Combine like terms: 0 + 2 = 2 s = 2 Simplifying s = 2Subproblem 3
Set the factor '(s + 6)' equal to zero and attempt to solve: Simplifying s + 6 = 0 Reorder the terms: 6 + s = 0 Solving 6 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s = 0 + -6 s = 0 + -6 Combine like terms: 0 + -6 = -6 s = -6 Simplifying s = -6Solution
s = {2, -6}
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