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Simplifying (X + 6)(x + -4) + (x + 6)(x + -8) = 0 Reorder the terms: (6 + X)(x + -4) + (x + 6)(x + -8) = 0 Reorder the terms: (6 + X)(-4 + x) + (x + 6)(x + -8) = 0 Multiply (6 + X) * (-4 + x) (6(-4 + x) + X(-4 + x)) + (x + 6)(x + -8) = 0 ((-4 * 6 + x * 6) + X(-4 + x)) + (x + 6)(x + -8) = 0 ((-24 + 6x) + X(-4 + x)) + (x + 6)(x + -8) = 0 (-24 + 6x + (-4 * X + x * X)) + (x + 6)(x + -8) = 0 (-24 + 6x + (-4X + xX)) + (x + 6)(x + -8) = 0 Reorder the terms: (-24 + -4X + 6x + xX) + (x + 6)(x + -8) = 0 (-24 + -4X + 6x + xX) + (x + 6)(x + -8) = 0 Reorder the terms: -24 + -4X + 6x + xX + (6 + x)(x + -8) = 0 Reorder the terms: -24 + -4X + 6x + xX + (6 + x)(-8 + x) = 0 Multiply (6 + x) * (-8 + x) -24 + -4X + 6x + xX + (6(-8 + x) + x(-8 + x)) = 0 -24 + -4X + 6x + xX + ((-8 * 6 + x * 6) + x(-8 + x)) = 0 -24 + -4X + 6x + xX + ((-48 + 6x) + x(-8 + x)) = 0 -24 + -4X + 6x + xX + (-48 + 6x + (-8 * x + x * x)) = 0 -24 + -4X + 6x + xX + (-48 + 6x + (-8x + x2)) = 0 Combine like terms: 6x + -8x = -2x -24 + -4X + 6x + xX + (-48 + -2x + x2) = 0 Reorder the terms: -24 + -48 + -4X + 6x + -2x + xX + x2 = 0 Combine like terms: -24 + -48 = -72 -72 + -4X + 6x + -2x + xX + x2 = 0 Combine like terms: 6x + -2x = 4x -72 + -4X + 4x + xX + x2 = 0 Solving -72 + -4X + 4x + xX + x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '72' to each side of the equation. -72 + -4X + 4x + xX + 72 + x2 = 0 + 72 Reorder the terms: -72 + 72 + -4X + 4x + xX + x2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -4X + 4x + xX + x2 = 0 + 72 -4X + 4x + xX + x2 = 0 + 72 Combine like terms: 0 + 72 = 72 -4X + 4x + xX + x2 = 72 Add '-4x' to each side of the equation. -4X + 4x + xX + -4x + x2 = 72 + -4x Reorder the terms: -4X + 4x + -4x + xX + x2 = 72 + -4x Combine like terms: 4x + -4x = 0 -4X + 0 + xX + x2 = 72 + -4x -4X + xX + x2 = 72 + -4x Add '-1x2' to each side of the equation. -4X + xX + x2 + -1x2 = 72 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 -4X + xX + 0 = 72 + -4x + -1x2 -4X + xX = 72 + -4x + -1x2 Reorder the terms: -72 + -4X + 4x + xX + x2 = 72 + -4x + -1x2 + -72 + 4x + x2 Reorder the terms: -72 + -4X + 4x + xX + x2 = 72 + -72 + -4x + 4x + -1x2 + x2 Combine like terms: 72 + -72 = 0 -72 + -4X + 4x + xX + x2 = 0 + -4x + 4x + -1x2 + x2 -72 + -4X + 4x + xX + x2 = -4x + 4x + -1x2 + x2 Combine like terms: -4x + 4x = 0 -72 + -4X + 4x + xX + x2 = 0 + -1x2 + x2 -72 + -4X + 4x + xX + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -72 + -4X + 4x + xX + x2 = 0 The solution to this equation could not be determined.
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