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Simplifying 8z2 + cz + 35 = (4z + 7)(2z + 5) * whatisc Reorder the terms: 35 + cz + 8z2 = (4z + 7)(2z + 5) * whatisc Reorder the terms: 35 + cz + 8z2 = (7 + 4z)(2z + 5) * whatisc Reorder the terms: 35 + cz + 8z2 = (7 + 4z)(5 + 2z) * whatisc Reorder the terms for easier multiplication: 35 + cz + 8z2 = achistw(7 + 4z)(5 + 2z) Multiply (7 + 4z) * (5 + 2z) 35 + cz + 8z2 = achistw(7(5 + 2z) + 4z * (5 + 2z)) 35 + cz + 8z2 = achistw((5 * 7 + 2z * 7) + 4z * (5 + 2z)) 35 + cz + 8z2 = achistw((35 + 14z) + 4z * (5 + 2z)) 35 + cz + 8z2 = achistw(35 + 14z + (5 * 4z + 2z * 4z)) 35 + cz + 8z2 = achistw(35 + 14z + (20z + 8z2)) Combine like terms: 14z + 20z = 34z 35 + cz + 8z2 = achistw(35 + 34z + 8z2) 35 + cz + 8z2 = (35 * achistw + 34z * achistw + 8z2 * achistw) 35 + cz + 8z2 = (35achistw + 34achistwz + 8achistwz2) Solving 35 + cz + 8z2 = 35achistw + 34achistwz + 8achistwz2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35achistw' to each side of the equation. 35 + cz + -35achistw + 8z2 = 35achistw + 34achistwz + -35achistw + 8achistwz2 Reorder the terms: 35 + -35achistw + cz + 8z2 = 35achistw + 34achistwz + -35achistw + 8achistwz2 Reorder the terms: 35 + -35achistw + cz + 8z2 = 35achistw + -35achistw + 34achistwz + 8achistwz2 Combine like terms: 35achistw + -35achistw = 0 35 + -35achistw + cz + 8z2 = 0 + 34achistwz + 8achistwz2 35 + -35achistw + cz + 8z2 = 34achistwz + 8achistwz2 Add '-34achistwz' to each side of the equation. 35 + -35achistw + cz + -34achistwz + 8z2 = 34achistwz + -34achistwz + 8achistwz2 Reorder the terms: 35 + -35achistw + -34achistwz + cz + 8z2 = 34achistwz + -34achistwz + 8achistwz2 Combine like terms: 34achistwz + -34achistwz = 0 35 + -35achistw + -34achistwz + cz + 8z2 = 0 + 8achistwz2 35 + -35achistw + -34achistwz + cz + 8z2 = 8achistwz2 Add '-8achistwz2' to each side of the equation. 35 + -35achistw + -34achistwz + cz + -8achistwz2 + 8z2 = 8achistwz2 + -8achistwz2 Reorder the terms: 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 8achistwz2 + -8achistwz2 Combine like terms: 8achistwz2 + -8achistwz2 = 0 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 Add '-35' to each side of the equation. 35 + -35achistw + -34achistwz + -8achistwz2 + cz + -35 + 8z2 = 0 + -35 Reorder the terms: 35 + -35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 + -35 -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 + -35 Combine like terms: 0 + -35 = -35 -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = -35 Add '-8z2' to each side of the equation. -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 + -8z2 = -35 + -8z2 Combine like terms: 8z2 + -8z2 = 0 -35achistw + -34achistwz + -8achistwz2 + cz + 0 = -35 + -8z2 -35achistw + -34achistwz + -8achistwz2 + cz = -35 + -8z2 Reorder the terms: 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = -35 + -8z2 + 35 + 8z2 Reorder the terms: 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = -35 + 35 + -8z2 + 8z2 Combine like terms: -35 + 35 = 0 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 + -8z2 + 8z2 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = -8z2 + 8z2 Combine like terms: -8z2 + 8z2 = 0 35 + -35achistw + -34achistwz + -8achistwz2 + cz + 8z2 = 0 The solution to this equation could not be determined.
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