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Simplifying 5x5 + 34x3 + -48x = 0 Reorder the terms: -48x + 34x3 + 5x5 = 0 Solving -48x + 34x3 + 5x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + 34x2 + 5x4) = 0 Factor a trinomial. x((-8 + -1x2)(6 + -5x2)) = 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 '(-8 + -1x2)' equal to zero and attempt to solve: Simplifying -8 + -1x2 = 0 Solving -8 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x2 = 0 + 8 -1x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x2 = 8 Divide each side by '-1'. x2 = -8 Simplifying x2 = -8 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 '(6 + -5x2)' equal to zero and attempt to solve: Simplifying 6 + -5x2 = 0 Solving 6 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x2 = 0 + -6 -5x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -5x2 = -6 Divide each side by '-5'. x2 = 1.2 Simplifying x2 = 1.2 Take the square root of each side: x = {-1.095445115, 1.095445115}Solution
x = {0, -1.095445115, 1.095445115}
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