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Simplifying S(x3 + x2 + 3x) * dx = 0 Reorder the terms: S(3x + x2 + x3) * dx = 0 Reorder the terms for easier multiplication: S * dx(3x + x2 + x3) = 0 Multiply S * dx dxS(3x + x2 + x3) = 0 (3x * dxS + x2 * dxS + x3 * dxS) = 0 (3dx2S + dx3S + dx4S) = 0 Solving 3dx2S + dx3S + dx4S = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dx2S'. dx2S(3 + x + x2) = 0Subproblem 1
Set the factor 'dx2S' equal to zero and attempt to solve: Simplifying dx2S = 0 Solving dx2S = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2S = 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 '(3 + x + x2)' equal to zero and attempt to solve: Simplifying 3 + x + x2 = 0 Solving 3 + x + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + x2 = 0 + -3 x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x + x2 = -3 Add '-1x' to each side of the equation. x + -1x + x2 = -3 + -1x Combine like terms: x + -1x = 0 0 + x2 = -3 + -1x x2 = -3 + -1x Add '-1x2' to each side of the equation. x2 + -1x2 = -3 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -3 + -1x + -1x2 Simplifying 0 = -3 + -1x + -1x2 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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