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Simplifying 6x5 + -7x3 + -3x = 0 Reorder the terms: -3x + -7x3 + 6x5 = 0 Solving -3x + -7x3 + 6x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + -7x2 + 6x4) = 0 Factor a trinomial. x((-1 + -3x2)(3 + -2x2)) = 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 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 '(3 + -2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x2 = 0 Solving 3 + -2x2 = 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 + -2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x2 = 0 + -3 -2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x2 = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {0, -1.224744871, 1.224744871}
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