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Simplifying 3x5 + -28x3 + 9x = 0 Reorder the terms: 9x + -28x3 + 3x5 = 0 Solving 9x + -28x3 + 3x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + -28x2 + 3x4) = 0 Factor a trinomial. x((1 + -3x2)(9 + -1x2)) = 0 Factor a difference between two squares. x((1 + -3x2)((3 + x)(3 + -1x))) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + -3x2)' equal to zero and attempt to solve: Simplifying 1 + -3x2 = 0 Solving 1 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x2 = 0 + -1 -3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3x2 = -1 Divide each side by '-3'. x2 = 0.3333333333 Simplifying x2 = 0.3333333333 Take the square root of each side: x = {-0.577350269, 0.577350269}Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 4
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -0.577350269, 0.577350269, -3, 3}
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