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Simplifying 9x4 = 13x2 + -4 Reorder the terms: 9x4 = -4 + 13x2 Solving 9x4 = -4 + 13x2 Solving for variable 'x'. Reorder the terms: 4 + -13x2 + 9x4 = -4 + 13x2 + 4 + -13x2 Reorder the terms: 4 + -13x2 + 9x4 = -4 + 4 + 13x2 + -13x2 Combine like terms: -4 + 4 = 0 4 + -13x2 + 9x4 = 0 + 13x2 + -13x2 4 + -13x2 + 9x4 = 13x2 + -13x2 Combine like terms: 13x2 + -13x2 = 0 4 + -13x2 + 9x4 = 0 Factor a trinomial. (4 + -9x2)(1 + -1x2) = 0 Factor a difference between two squares. ((2 + 3x)(2 + -3x))(1 + -1x2) = 0 Factor a difference between two squares. ((1 + x)(1 + -1x))(2 + 3x)(2 + -3x) = 0Subproblem 1
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 4
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.6666666667, 0.6666666667, -1, 1}
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