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Simplifying x * x * x + -1x * x + -4x + 4 = (x * x + -4)(x + -1) Multiply x * x x2 * x + -1x * x + -4x + 4 = (x * x + -4)(x + -1) Multiply x2 * x x3 + -1x * x + -4x + 4 = (x * x + -4)(x + -1) Multiply x * x x3 + -1x2 + -4x + 4 = (x * x + -4)(x + -1) Reorder the terms: 4 + -4x + -1x2 + x3 = (x * x + -4)(x + -1) Multiply x * x 4 + -4x + -1x2 + x3 = (x2 + -4)(x + -1) Reorder the terms: 4 + -4x + -1x2 + x3 = (-4 + x2)(x + -1) Reorder the terms: 4 + -4x + -1x2 + x3 = (-4 + x2)(-1 + x) Multiply (-4 + x2) * (-1 + x) 4 + -4x + -1x2 + x3 = (-4(-1 + x) + x2(-1 + x)) 4 + -4x + -1x2 + x3 = ((-1 * -4 + x * -4) + x2(-1 + x)) 4 + -4x + -1x2 + x3 = ((4 + -4x) + x2(-1 + x)) 4 + -4x + -1x2 + x3 = (4 + -4x + (-1 * x2 + x * x2)) 4 + -4x + -1x2 + x3 = (4 + -4x + (-1x2 + x3)) 4 + -4x + -1x2 + x3 = (4 + -4x + -1x2 + x3) Add '-4' to each side of the equation. 4 + -4x + -1x2 + -4 + x3 = 4 + -4x + -1x2 + -4 + x3 Reorder the terms: 4 + -4 + -4x + -1x2 + x3 = 4 + -4x + -1x2 + -4 + x3 Combine like terms: 4 + -4 = 0 0 + -4x + -1x2 + x3 = 4 + -4x + -1x2 + -4 + x3 -4x + -1x2 + x3 = 4 + -4x + -1x2 + -4 + x3 Reorder the terms: -4x + -1x2 + x3 = 4 + -4 + -4x + -1x2 + x3 Combine like terms: 4 + -4 = 0 -4x + -1x2 + x3 = 0 + -4x + -1x2 + x3 -4x + -1x2 + x3 = -4x + -1x2 + x3 Add '4x' to each side of the equation. -4x + -1x2 + 4x + x3 = -4x + -1x2 + 4x + x3 Reorder the terms: -4x + 4x + -1x2 + x3 = -4x + -1x2 + 4x + x3 Combine like terms: -4x + 4x = 0 0 + -1x2 + x3 = -4x + -1x2 + 4x + x3 -1x2 + x3 = -4x + -1x2 + 4x + x3 Reorder the terms: -1x2 + x3 = -4x + 4x + -1x2 + x3 Combine like terms: -4x + 4x = 0 -1x2 + x3 = 0 + -1x2 + x3 -1x2 + x3 = -1x2 + x3 Add 'x2' to each side of the equation. -1x2 + x2 + x3 = -1x2 + x2 + x3 Combine like terms: -1x2 + x2 = 0 0 + x3 = -1x2 + x2 + x3 x3 = -1x2 + x2 + x3 Combine like terms: -1x2 + x2 = 0 x3 = 0 + x3 x3 = x3 Add '-1x3' to each side of the equation. x3 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = x3 + -1x3 Combine like terms: x3 + -1x3 = 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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