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Simplifying 4k2 + 4k + 1 = 2(2k2 + 2k) + 1 Reorder the terms: 1 + 4k + 4k2 = 2(2k2 + 2k) + 1 Reorder the terms: 1 + 4k + 4k2 = 2(2k + 2k2) + 1 1 + 4k + 4k2 = (2k * 2 + 2k2 * 2) + 1 1 + 4k + 4k2 = (4k + 4k2) + 1 Reorder the terms: 1 + 4k + 4k2 = 1 + 4k + 4k2 Add '-1' to each side of the equation. 1 + 4k + -1 + 4k2 = 1 + 4k + -1 + 4k2 Reorder the terms: 1 + -1 + 4k + 4k2 = 1 + 4k + -1 + 4k2 Combine like terms: 1 + -1 = 0 0 + 4k + 4k2 = 1 + 4k + -1 + 4k2 4k + 4k2 = 1 + 4k + -1 + 4k2 Reorder the terms: 4k + 4k2 = 1 + -1 + 4k + 4k2 Combine like terms: 1 + -1 = 0 4k + 4k2 = 0 + 4k + 4k2 4k + 4k2 = 4k + 4k2 Add '-4k' to each side of the equation. 4k + -4k + 4k2 = 4k + -4k + 4k2 Combine like terms: 4k + -4k = 0 0 + 4k2 = 4k + -4k + 4k2 4k2 = 4k + -4k + 4k2 Combine like terms: 4k + -4k = 0 4k2 = 0 + 4k2 4k2 = 4k2 Add '-4k2' to each side of the equation. 4k2 + -4k2 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 0 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 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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