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Simplifying (4x + 1)(4x + -1) = 4x * 4x + -1 Reorder the terms: (1 + 4x)(4x + -1) = 4x * 4x + -1 Reorder the terms: (1 + 4x)(-1 + 4x) = 4x * 4x + -1 Multiply (1 + 4x) * (-1 + 4x) (1(-1 + 4x) + 4x * (-1 + 4x)) = 4x * 4x + -1 ((-1 * 1 + 4x * 1) + 4x * (-1 + 4x)) = 4x * 4x + -1 ((-1 + 4x) + 4x * (-1 + 4x)) = 4x * 4x + -1 (-1 + 4x + (-1 * 4x + 4x * 4x)) = 4x * 4x + -1 (-1 + 4x + (-4x + 16x2)) = 4x * 4x + -1 Combine like terms: 4x + -4x = 0 (-1 + 0 + 16x2) = 4x * 4x + -1 (-1 + 16x2) = 4x * 4x + -1 Reorder the terms for easier multiplication: -1 + 16x2 = 4 * 4x * x + -1 Multiply 4 * 4 -1 + 16x2 = 16x * x + -1 Multiply x * x -1 + 16x2 = 16x2 + -1 Reorder the terms: -1 + 16x2 = -1 + 16x2 Add '1' to each side of the equation. -1 + 1 + 16x2 = -1 + 1 + 16x2 Combine like terms: -1 + 1 = 0 0 + 16x2 = -1 + 1 + 16x2 16x2 = -1 + 1 + 16x2 Combine like terms: -1 + 1 = 0 16x2 = 0 + 16x2 16x2 = 16x2 Add '-16x2' to each side of the equation. 16x2 + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 0 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 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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