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Simplifying x4 + -3x2 = 2x2 Reorder the terms: -3x2 + x4 = 2x2 Solving -3x2 + x4 = 2x2 Solving for variable 'x'. Reorder the terms: -3x2 + -2x2 + x4 = 2x2 + -2x2 Combine like terms: -3x2 + -2x2 = -5x2 -5x2 + x4 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x2 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-5 + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-5 + x2)' equal to zero and attempt to solve: Simplifying -5 + x2 = 0 Solving -5 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x2 = 0 + 5 x2 = 0 + 5 Combine like terms: 0 + 5 = 5 x2 = 5 Simplifying x2 = 5 Take the square root of each side: x = {-2.236067978, 2.236067978}Solution
x = {0, -2.236067978, 2.236067978}
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