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Simplifying ax(x + 1) + b(x * x + -1) + cx(x + -1) = x * x Reorder the terms: ax(1 + x) + b(x * x + -1) + cx(x + -1) = x * x (1 * ax + x * ax) + b(x * x + -1) + cx(x + -1) = x * x (1ax + ax2) + b(x * x + -1) + cx(x + -1) = x * x Multiply x * x 1ax + ax2 + b(x2 + -1) + cx(x + -1) = x * x Reorder the terms: 1ax + ax2 + b(-1 + x2) + cx(x + -1) = x * x 1ax + ax2 + (-1 * b + x2 * b) + cx(x + -1) = x * x 1ax + ax2 + (-1b + bx2) + cx(x + -1) = x * x Reorder the terms: 1ax + ax2 + -1b + bx2 + cx(-1 + x) = x * x 1ax + ax2 + -1b + bx2 + (-1 * cx + x * cx) = x * x 1ax + ax2 + -1b + bx2 + (-1cx + cx2) = x * x Multiply x * x 1ax + ax2 + -1b + bx2 + -1cx + cx2 = x2 Solving 1ax + ax2 + -1b + bx2 + -1cx + cx2 = x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 1ax + ax2 + -1b + bx2 + -1cx + b + cx2 = b + x2 Reorder the terms: 1ax + ax2 + -1b + b + bx2 + -1cx + cx2 = b + x2 Combine like terms: -1b + b = 0 1ax + ax2 + 0 + bx2 + -1cx + cx2 = b + x2 1ax + ax2 + bx2 + -1cx + cx2 = b + x2 Add '-1bx2' to each side of the equation. 1ax + ax2 + bx2 + -1cx + -1bx2 + cx2 = b + -1bx2 + x2 Reorder the terms: 1ax + ax2 + bx2 + -1bx2 + -1cx + cx2 = b + -1bx2 + x2 Combine like terms: bx2 + -1bx2 = 0 1ax + ax2 + 0 + -1cx + cx2 = b + -1bx2 + x2 1ax + ax2 + -1cx + cx2 = b + -1bx2 + x2 Add 'cx' to each side of the equation. 1ax + ax2 + -1cx + cx + cx2 = b + -1bx2 + cx + x2 Combine like terms: -1cx + cx = 0 1ax + ax2 + 0 + cx2 = b + -1bx2 + cx + x2 1ax + ax2 + cx2 = b + -1bx2 + cx + x2 Add '-1cx2' to each side of the equation. 1ax + ax2 + cx2 + -1cx2 = b + -1bx2 + cx + -1cx2 + x2 Combine like terms: cx2 + -1cx2 = 0 1ax + ax2 + 0 = b + -1bx2 + cx + -1cx2 + x2 1ax + ax2 = b + -1bx2 + cx + -1cx2 + x2 Reorder the terms: 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = b + -1b + -1bx2 + bx2 + cx + -1cx + -1cx2 + cx2 + x2 + -1x2 Combine like terms: b + -1b = 0 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = 0 + -1bx2 + bx2 + cx + -1cx + -1cx2 + cx2 + x2 + -1x2 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = -1bx2 + bx2 + cx + -1cx + -1cx2 + cx2 + x2 + -1x2 Combine like terms: -1bx2 + bx2 = 0 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = 0 + cx + -1cx + -1cx2 + cx2 + x2 + -1x2 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = cx + -1cx + -1cx2 + cx2 + x2 + -1x2 Combine like terms: cx + -1cx = 0 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = 0 + -1cx2 + cx2 + x2 + -1x2 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = -1cx2 + cx2 + x2 + -1x2 Combine like terms: -1cx2 + cx2 = 0 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = 0 + x2 + -1x2 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1ax + ax2 + -1b + bx2 + -1cx + cx2 + -1x2 = 0 The solution to this equation could not be determined.
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