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Simplifying (2k + -4)(3k + -2) = 6k2 + -16k + 8 Reorder the terms: (-4 + 2k)(3k + -2) = 6k2 + -16k + 8 Reorder the terms: (-4 + 2k)(-2 + 3k) = 6k2 + -16k + 8 Multiply (-4 + 2k) * (-2 + 3k) (-4(-2 + 3k) + 2k * (-2 + 3k)) = 6k2 + -16k + 8 ((-2 * -4 + 3k * -4) + 2k * (-2 + 3k)) = 6k2 + -16k + 8 ((8 + -12k) + 2k * (-2 + 3k)) = 6k2 + -16k + 8 (8 + -12k + (-2 * 2k + 3k * 2k)) = 6k2 + -16k + 8 (8 + -12k + (-4k + 6k2)) = 6k2 + -16k + 8 Combine like terms: -12k + -4k = -16k (8 + -16k + 6k2) = 6k2 + -16k + 8 Reorder the terms: 8 + -16k + 6k2 = 8 + -16k + 6k2 Add '-8' to each side of the equation. 8 + -16k + -8 + 6k2 = 8 + -16k + -8 + 6k2 Reorder the terms: 8 + -8 + -16k + 6k2 = 8 + -16k + -8 + 6k2 Combine like terms: 8 + -8 = 0 0 + -16k + 6k2 = 8 + -16k + -8 + 6k2 -16k + 6k2 = 8 + -16k + -8 + 6k2 Reorder the terms: -16k + 6k2 = 8 + -8 + -16k + 6k2 Combine like terms: 8 + -8 = 0 -16k + 6k2 = 0 + -16k + 6k2 -16k + 6k2 = -16k + 6k2 Add '16k' to each side of the equation. -16k + 16k + 6k2 = -16k + 16k + 6k2 Combine like terms: -16k + 16k = 0 0 + 6k2 = -16k + 16k + 6k2 6k2 = -16k + 16k + 6k2 Combine like terms: -16k + 16k = 0 6k2 = 0 + 6k2 6k2 = 6k2 Add '-6k2' to each side of the equation. 6k2 + -6k2 = 6k2 + -6k2 Combine like terms: 6k2 + -6k2 = 0 0 = 6k2 + -6k2 Combine like terms: 6k2 + -6k2 = 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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