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Simplifying 6x2 + x + -1c = (cx + -9)(3x + 2) Reorder the terms: -1c + x + 6x2 = (cx + -9)(3x + 2) Reorder the terms: -1c + x + 6x2 = (-9 + cx)(3x + 2) Reorder the terms: -1c + x + 6x2 = (-9 + cx)(2 + 3x) Multiply (-9 + cx) * (2 + 3x) -1c + x + 6x2 = (-9(2 + 3x) + cx(2 + 3x)) -1c + x + 6x2 = ((2 * -9 + 3x * -9) + cx(2 + 3x)) -1c + x + 6x2 = ((-18 + -27x) + cx(2 + 3x)) -1c + x + 6x2 = (-18 + -27x + (2 * cx + 3x * cx)) -1c + x + 6x2 = (-18 + -27x + (2cx + 3cx2)) Reorder the terms: -1c + x + 6x2 = (-18 + 2cx + 3cx2 + -27x) -1c + x + 6x2 = (-18 + 2cx + 3cx2 + -27x) Solving -1c + x + 6x2 = -18 + 2cx + 3cx2 + -27x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2cx' to each side of the equation. -1c + x + -2cx + 6x2 = -18 + 2cx + 3cx2 + -2cx + -27x Reorder the terms: -1c + -2cx + x + 6x2 = -18 + 2cx + 3cx2 + -2cx + -27x Reorder the terms: -1c + -2cx + x + 6x2 = -18 + 2cx + -2cx + 3cx2 + -27x Combine like terms: 2cx + -2cx = 0 -1c + -2cx + x + 6x2 = -18 + 0 + 3cx2 + -27x -1c + -2cx + x + 6x2 = -18 + 3cx2 + -27x Add '-3cx2' to each side of the equation. -1c + -2cx + x + -3cx2 + 6x2 = -18 + 3cx2 + -3cx2 + -27x Reorder the terms: -1c + -2cx + -3cx2 + x + 6x2 = -18 + 3cx2 + -3cx2 + -27x Combine like terms: 3cx2 + -3cx2 = 0 -1c + -2cx + -3cx2 + x + 6x2 = -18 + 0 + -27x -1c + -2cx + -3cx2 + x + 6x2 = -18 + -27x Add '-1x' to each side of the equation. -1c + -2cx + -3cx2 + x + -1x + 6x2 = -18 + -27x + -1x Combine like terms: x + -1x = 0 -1c + -2cx + -3cx2 + 0 + 6x2 = -18 + -27x + -1x -1c + -2cx + -3cx2 + 6x2 = -18 + -27x + -1x Combine like terms: -27x + -1x = -28x -1c + -2cx + -3cx2 + 6x2 = -18 + -28x Add '-6x2' to each side of the equation. -1c + -2cx + -3cx2 + 6x2 + -6x2 = -18 + -28x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1c + -2cx + -3cx2 + 0 = -18 + -28x + -6x2 -1c + -2cx + -3cx2 = -18 + -28x + -6x2 Reorder the terms: 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = -18 + -28x + -6x2 + 18 + 28x + 6x2 Reorder the terms: 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = -18 + 18 + -28x + 28x + -6x2 + 6x2 Combine like terms: -18 + 18 = 0 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = 0 + -28x + 28x + -6x2 + 6x2 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = -28x + 28x + -6x2 + 6x2 Combine like terms: -28x + 28x = 0 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = 0 + -6x2 + 6x2 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 18 + -1c + -2cx + -3cx2 + 28x + 6x2 = 0 The solution to this equation could not be determined.
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