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Simplifying x4 + -20x2 + 4 = (x4 + -4x2 + 4) + -16x2 Reorder the terms: 4 + -20x2 + x4 = (x4 + -4x2 + 4) + -16x2 Reorder the terms: 4 + -20x2 + x4 = (4 + -4x2 + x4) + -16x2 Remove parenthesis around (4 + -4x2 + x4) 4 + -20x2 + x4 = 4 + -4x2 + x4 + -16x2 Reorder the terms: 4 + -20x2 + x4 = 4 + -4x2 + -16x2 + x4 Combine like terms: -4x2 + -16x2 = -20x2 4 + -20x2 + x4 = 4 + -20x2 + x4 Add '-4' to each side of the equation. 4 + -20x2 + -4 + x4 = 4 + -20x2 + -4 + x4 Reorder the terms: 4 + -4 + -20x2 + x4 = 4 + -20x2 + -4 + x4 Combine like terms: 4 + -4 = 0 0 + -20x2 + x4 = 4 + -20x2 + -4 + x4 -20x2 + x4 = 4 + -20x2 + -4 + x4 Reorder the terms: -20x2 + x4 = 4 + -4 + -20x2 + x4 Combine like terms: 4 + -4 = 0 -20x2 + x4 = 0 + -20x2 + x4 -20x2 + x4 = -20x2 + x4 Add '20x2' to each side of the equation. -20x2 + 20x2 + x4 = -20x2 + 20x2 + x4 Combine like terms: -20x2 + 20x2 = 0 0 + x4 = -20x2 + 20x2 + x4 x4 = -20x2 + 20x2 + x4 Combine like terms: -20x2 + 20x2 = 0 x4 = 0 + x4 x4 = x4 Add '-1x4' to each side of the equation. x4 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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