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Simplifying 3(can(2x2 + 1) + -1) = x(1 + 3x + 8can(2x2 + 1)) Reorder the terms: 3(acn(1 + 2x2) + -1) = x(1 + 3x + 8can(2x2 + 1)) 3((1 * acn + 2x2 * acn) + -1) = x(1 + 3x + 8can(2x2 + 1)) 3((1acn + 2acnx2) + -1) = x(1 + 3x + 8can(2x2 + 1)) Reorder the terms: 3(-1 + 1acn + 2acnx2) = x(1 + 3x + 8can(2x2 + 1)) (-1 * 3 + 1acn * 3 + 2acnx2 * 3) = x(1 + 3x + 8can(2x2 + 1)) (-3 + 3acn + 6acnx2) = x(1 + 3x + 8can(2x2 + 1)) Reorder the terms: -3 + 3acn + 6acnx2 = x(1 + 3x + 8acn(1 + 2x2)) -3 + 3acn + 6acnx2 = x(1 + 3x + (1 * 8acn + 2x2 * 8acn)) -3 + 3acn + 6acnx2 = x(1 + 3x + (8acn + 16acnx2)) Reorder the terms: -3 + 3acn + 6acnx2 = x(1 + 8acn + 16acnx2 + 3x) -3 + 3acn + 6acnx2 = (1 * x + 8acn * x + 16acnx2 * x + 3x * x) Reorder the terms: -3 + 3acn + 6acnx2 = (8acnx + 16acnx3 + 1x + 3x2) -3 + 3acn + 6acnx2 = (8acnx + 16acnx3 + 1x + 3x2) Solving -3 + 3acn + 6acnx2 = 8acnx + 16acnx3 + 1x + 3x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8acnx' to each side of the equation. -3 + 3acn + -8acnx + 6acnx2 = 8acnx + 16acnx3 + 1x + -8acnx + 3x2 Reorder the terms: -3 + 3acn + -8acnx + 6acnx2 = 8acnx + -8acnx + 16acnx3 + 1x + 3x2 Combine like terms: 8acnx + -8acnx = 0 -3 + 3acn + -8acnx + 6acnx2 = 0 + 16acnx3 + 1x + 3x2 -3 + 3acn + -8acnx + 6acnx2 = 16acnx3 + 1x + 3x2 Add '-16acnx3' to each side of the equation. -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 16acnx3 + 1x + -16acnx3 + 3x2 Reorder the terms: -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 16acnx3 + -16acnx3 + 1x + 3x2 Combine like terms: 16acnx3 + -16acnx3 = 0 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 0 + 1x + 3x2 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 1x + 3x2 Add '3' to each side of the equation. -3 + 3acn + -8acnx + 6acnx2 + 3 + -16acnx3 = 1x + 3 + 3x2 Reorder the terms: -3 + 3 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 1x + 3 + 3x2 Combine like terms: -3 + 3 = 0 0 + 3acn + -8acnx + 6acnx2 + -16acnx3 = 1x + 3 + 3x2 3acn + -8acnx + 6acnx2 + -16acnx3 = 1x + 3 + 3x2 Reorder the terms: 3acn + -8acnx + 6acnx2 + -16acnx3 = 3 + 1x + 3x2 Reorder the terms: -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 3 + 1x + 3x2 + -3 + -1x + -3x2 Reorder the terms: -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 3 + -3 + 1x + -1x + 3x2 + -3x2 Combine like terms: 3 + -3 = 0 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 0 + 1x + -1x + 3x2 + -3x2 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 1x + -1x + 3x2 + -3x2 Combine like terms: 1x + -1x = 0 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 0 + 3x2 + -3x2 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + 3acn + -8acnx + 6acnx2 + -16acnx3 + -1x + -3x2 = 0 The solution to this equation could not be determined.
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