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Simplifying 16x2 + -1 = (4x + -1)(4x + 1) Reorder the terms: -1 + 16x2 = (4x + -1)(4x + 1) Reorder the terms: -1 + 16x2 = (-1 + 4x)(4x + 1) Reorder the terms: -1 + 16x2 = (-1 + 4x)(1 + 4x) Multiply (-1 + 4x) * (1 + 4x) -1 + 16x2 = (-1(1 + 4x) + 4x * (1 + 4x)) -1 + 16x2 = ((1 * -1 + 4x * -1) + 4x * (1 + 4x)) -1 + 16x2 = ((-1 + -4x) + 4x * (1 + 4x)) -1 + 16x2 = (-1 + -4x + (1 * 4x + 4x * 4x)) -1 + 16x2 = (-1 + -4x + (4x + 16x2)) Combine like terms: -4x + 4x = 0 -1 + 16x2 = (-1 + 0 + 16x2) -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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