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Simplifying x4 + -3x2 + -4 = (x2 + 1)(x2 + -4) Reorder the terms: -4 + -3x2 + x4 = (x2 + 1)(x2 + -4) Reorder the terms: -4 + -3x2 + x4 = (1 + x2)(x2 + -4) Reorder the terms: -4 + -3x2 + x4 = (1 + x2)(-4 + x2) Multiply (1 + x2) * (-4 + x2) -4 + -3x2 + x4 = (1(-4 + x2) + x2(-4 + x2)) -4 + -3x2 + x4 = ((-4 * 1 + x2 * 1) + x2(-4 + x2)) -4 + -3x2 + x4 = ((-4 + 1x2) + x2(-4 + x2)) -4 + -3x2 + x4 = (-4 + 1x2 + (-4 * x2 + x2 * x2)) -4 + -3x2 + x4 = (-4 + 1x2 + (-4x2 + x4)) Combine like terms: 1x2 + -4x2 = -3x2 -4 + -3x2 + x4 = (-4 + -3x2 + x4) Add '4' to each side of the equation. -4 + -3x2 + 4 + x4 = -4 + -3x2 + 4 + x4 Reorder the terms: -4 + 4 + -3x2 + x4 = -4 + -3x2 + 4 + x4 Combine like terms: -4 + 4 = 0 0 + -3x2 + x4 = -4 + -3x2 + 4 + x4 -3x2 + x4 = -4 + -3x2 + 4 + x4 Reorder the terms: -3x2 + x4 = -4 + 4 + -3x2 + x4 Combine like terms: -4 + 4 = 0 -3x2 + x4 = 0 + -3x2 + x4 -3x2 + x4 = -3x2 + x4 Add '3x2' to each side of the equation. -3x2 + 3x2 + x4 = -3x2 + 3x2 + x4 Combine like terms: -3x2 + 3x2 = 0 0 + x4 = -3x2 + 3x2 + x4 x4 = -3x2 + 3x2 + x4 Combine like terms: -3x2 + 3x2 = 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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