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Simplifying x4 + -13(x2 + -3) = 3 Reorder the terms: x4 + -13(-3 + x2) = 3 x4 + (-3 * -13 + x2 * -13) = 3 x4 + (39 + -13x2) = 3 Reorder the terms: 39 + -13x2 + x4 = 3 Solving 39 + -13x2 + x4 = 3 Solving for variable 'x'. Reorder the terms: 39 + -3 + -13x2 + x4 = 3 + -3 Combine like terms: 39 + -3 = 36 36 + -13x2 + x4 = 3 + -3 Combine like terms: 3 + -3 = 0 36 + -13x2 + x4 = 0 Factor a trinomial. (4 + -1x2)(9 + -1x2) = 0 Factor a difference between two squares. ((2 + x)(2 + -1x))(9 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(2 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 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 = {-2, 2, -3, 3}
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