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Simplifying X2(x + 2) + -1x(x + 2) + -6(x + 2) = 0 Reorder the terms: X2(2 + x) + -1x(x + 2) + -6(x + 2) = 0 (2 * X2 + x * X2) + -1x(x + 2) + -6(x + 2) = 0 (2X2 + xX2) + -1x(x + 2) + -6(x + 2) = 0 Reorder the terms: 2X2 + xX2 + -1x(2 + x) + -6(x + 2) = 0 2X2 + xX2 + (2 * -1x + x * -1x) + -6(x + 2) = 0 2X2 + xX2 + (-2x + -1x2) + -6(x + 2) = 0 Reorder the terms: 2X2 + xX2 + -2x + -1x2 + -6(2 + x) = 0 2X2 + xX2 + -2x + -1x2 + (2 * -6 + x * -6) = 0 2X2 + xX2 + -2x + -1x2 + (-12 + -6x) = 0 Reorder the terms: -12 + 2X2 + -2x + -6x + xX2 + -1x2 = 0 Combine like terms: -2x + -6x = -8x -12 + 2X2 + -8x + xX2 + -1x2 = 0 Solving -12 + 2X2 + -8x + xX2 + -1x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2X2 + -8x + xX2 + 12 + -1x2 = 0 + 12 Reorder the terms: -12 + 12 + 2X2 + -8x + xX2 + -1x2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2X2 + -8x + xX2 + -1x2 = 0 + 12 2X2 + -8x + xX2 + -1x2 = 0 + 12 Combine like terms: 0 + 12 = 12 2X2 + -8x + xX2 + -1x2 = 12 Add '8x' to each side of the equation. 2X2 + -8x + xX2 + 8x + -1x2 = 12 + 8x Reorder the terms: 2X2 + -8x + 8x + xX2 + -1x2 = 12 + 8x Combine like terms: -8x + 8x = 0 2X2 + 0 + xX2 + -1x2 = 12 + 8x 2X2 + xX2 + -1x2 = 12 + 8x Add 'x2' to each side of the equation. 2X2 + xX2 + -1x2 + x2 = 12 + 8x + x2 Combine like terms: -1x2 + x2 = 0 2X2 + xX2 + 0 = 12 + 8x + x2 2X2 + xX2 = 12 + 8x + x2 Reorder the terms: -12 + 2X2 + -8x + xX2 + -1x2 = 12 + 8x + x2 + -12 + -8x + -1x2 Reorder the terms: -12 + 2X2 + -8x + xX2 + -1x2 = 12 + -12 + 8x + -8x + x2 + -1x2 Combine like terms: 12 + -12 = 0 -12 + 2X2 + -8x + xX2 + -1x2 = 0 + 8x + -8x + x2 + -1x2 -12 + 2X2 + -8x + xX2 + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 -12 + 2X2 + -8x + xX2 + -1x2 = 0 + x2 + -1x2 -12 + 2X2 + -8x + xX2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 2X2 + -8x + xX2 + -1x2 = 0 The solution to this equation could not be determined.
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