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Simplifying 2x4 + x2 + -3 = 0 Reorder the terms: -3 + x2 + 2x4 = 0 Solving -3 + x2 + 2x4 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -2x2)(1 + -1x2) = 0 Factor a difference between two squares. (-3 + -2x2)((1 + x)(1 + -1x)) = 0Subproblem 1
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 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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 3
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 = {-1, 1}
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