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Simplifying 28x5 + 8x3 + -20x = 0 Reorder the terms: -20x + 8x3 + 28x5 = 0 Solving -20x + 8x3 + 28x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-5 + 2x2 + 7x4) = 0 Factor a trinomial. 4x((-1 + -1x2)(5 + -7x2)) = 0 Ignore the factor 4.Subproblem 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 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 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 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -7x2)' equal to zero and attempt to solve: Simplifying 5 + -7x2 = 0 Solving 5 + -7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x2 = 0 + -5 -7x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -7x2 = -5 Divide each side by '-7'. x2 = 0.7142857143 Simplifying x2 = 0.7142857143 Take the square root of each side: x = {-0.845154255, 0.845154255}Solution
x = {0, -0.845154255, 0.845154255}
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