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Simplifying 2k(-3k + 4) + 6(k2 + 10) = k(4k + 8) + -2k(2k * 5) Reorder the terms: 2k(4 + -3k) + 6(k2 + 10) = k(4k + 8) + -2k(2k * 5) (4 * 2k + -3k * 2k) + 6(k2 + 10) = k(4k + 8) + -2k(2k * 5) (8k + -6k2) + 6(k2 + 10) = k(4k + 8) + -2k(2k * 5) Reorder the terms: 8k + -6k2 + 6(10 + k2) = k(4k + 8) + -2k(2k * 5) 8k + -6k2 + (10 * 6 + k2 * 6) = k(4k + 8) + -2k(2k * 5) 8k + -6k2 + (60 + 6k2) = k(4k + 8) + -2k(2k * 5) Reorder the terms: 60 + 8k + -6k2 + 6k2 = k(4k + 8) + -2k(2k * 5) Combine like terms: -6k2 + 6k2 = 0 60 + 8k + 0 = k(4k + 8) + -2k(2k * 5) 60 + 8k = k(4k + 8) + -2k(2k * 5) Reorder the terms: 60 + 8k = k(8 + 4k) + -2k(2k * 5) 60 + 8k = (8 * k + 4k * k) + -2k(2k * 5) 60 + 8k = (8k + 4k2) + -2k(2k * 5) Reorder the terms for easier multiplication: 60 + 8k = 8k + 4k2 + -2k(2 * 5k) Multiply 2 * 5 60 + 8k = 8k + 4k2 + -2k(10k) Remove parenthesis around (10k) 60 + 8k = 8k + 4k2 + -2k * 10k Reorder the terms for easier multiplication: 60 + 8k = 8k + 4k2 + -2 * 10k * k Multiply -2 * 10 60 + 8k = 8k + 4k2 + -20k * k Multiply k * k 60 + 8k = 8k + 4k2 + -20k2 Combine like terms: 4k2 + -20k2 = -16k2 60 + 8k = 8k + -16k2 Add '-8k' to each side of the equation. 60 + 8k + -8k = 8k + -8k + -16k2 Combine like terms: 8k + -8k = 0 60 + 0 = 8k + -8k + -16k2 60 = 8k + -8k + -16k2 Combine like terms: 8k + -8k = 0 60 = 0 + -16k2 60 = -16k2 Solving 60 = -16k2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k2' to each side of the equation. 60 + 16k2 = -16k2 + 16k2 Combine like terms: -16k2 + 16k2 = 0 60 + 16k2 = 0 Add '-60' to each side of the equation. 60 + -60 + 16k2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 16k2 = 0 + -60 16k2 = 0 + -60 Combine like terms: 0 + -60 = -60 16k2 = -60 Divide each side by '16'. k2 = -3.75 Simplifying k2 = -3.75 Reorder the terms: 3.75 + k2 = -3.75 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 3.75 + k2 = 0.00 The solution to this equation could not be determined.
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