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Simplifying (X2 + -3x + 6)(x2 + -3x + -8) = -10 Reorder the terms: (6 + X2 + -3x)(x2 + -3x + -8) = -10 Reorder the terms: (6 + X2 + -3x)(-8 + -3x + x2) = -10 Multiply (6 + X2 + -3x) * (-8 + -3x + x2) (6(-8 + -3x + x2) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = -10 ((-8 * 6 + -3x * 6 + x2 * 6) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = -10 ((-48 + -18x + 6x2) + X2(-8 + -3x + x2) + -3x * (-8 + -3x + x2)) = -10 (-48 + -18x + 6x2 + (-8 * X2 + -3x * X2 + x2 * X2) + -3x * (-8 + -3x + x2)) = -10 (-48 + -18x + 6x2 + (-8X2 + -3xX2 + x2X2) + -3x * (-8 + -3x + x2)) = -10 (-48 + -18x + 6x2 + -8X2 + -3xX2 + x2X2 + (-8 * -3x + -3x * -3x + x2 * -3x)) = -10 (-48 + -18x + 6x2 + -8X2 + -3xX2 + x2X2 + (24x + 9x2 + -3x3)) = -10 Reorder the terms: (-48 + -8X2 + -18x + 24x + -3xX2 + 6x2 + 9x2 + x2X2 + -3x3) = -10 Combine like terms: -18x + 24x = 6x (-48 + -8X2 + 6x + -3xX2 + 6x2 + 9x2 + x2X2 + -3x3) = -10 Combine like terms: 6x2 + 9x2 = 15x2 (-48 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3) = -10 Solving -48 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + 48 + -3x3 = -10 + 48 Reorder the terms: -48 + 48 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -10 + 48 Combine like terms: -48 + 48 = 0 0 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -10 + 48 -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -10 + 48 Combine like terms: -10 + 48 = 38 -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 38 Add '-6x' to each side of the equation. -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -6x + -3x3 = 38 + -6x Reorder the terms: -8X2 + 6x + -6x + -3xX2 + 15x2 + x2X2 + -3x3 = 38 + -6x Combine like terms: 6x + -6x = 0 -8X2 + 0 + -3xX2 + 15x2 + x2X2 + -3x3 = 38 + -6x -8X2 + -3xX2 + 15x2 + x2X2 + -3x3 = 38 + -6x Add '-15x2' to each side of the equation. -8X2 + -3xX2 + 15x2 + x2X2 + -15x2 + -3x3 = 38 + -6x + -15x2 Reorder the terms: -8X2 + -3xX2 + 15x2 + -15x2 + x2X2 + -3x3 = 38 + -6x + -15x2 Combine like terms: 15x2 + -15x2 = 0 -8X2 + -3xX2 + 0 + x2X2 + -3x3 = 38 + -6x + -15x2 -8X2 + -3xX2 + x2X2 + -3x3 = 38 + -6x + -15x2 Add '3x3' to each side of the equation. -8X2 + -3xX2 + x2X2 + -3x3 + 3x3 = 38 + -6x + -15x2 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -8X2 + -3xX2 + x2X2 + 0 = 38 + -6x + -15x2 + 3x3 -8X2 + -3xX2 + x2X2 = 38 + -6x + -15x2 + 3x3 Reorder the terms: -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 38 + -6x + -15x2 + 3x3 + -38 + 6x + 15x2 + -3x3 Reorder the terms: -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 38 + -38 + -6x + 6x + -15x2 + 15x2 + 3x3 + -3x3 Combine like terms: 38 + -38 = 0 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 0 + -6x + 6x + -15x2 + 15x2 + 3x3 + -3x3 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -6x + 6x + -15x2 + 15x2 + 3x3 + -3x3 Combine like terms: -6x + 6x = 0 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 0 + -15x2 + 15x2 + 3x3 + -3x3 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = -15x2 + 15x2 + 3x3 + -3x3 Combine like terms: -15x2 + 15x2 = 0 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 0 + 3x3 + -3x3 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -38 + -8X2 + 6x + -3xX2 + 15x2 + x2X2 + -3x3 = 0 The solution to this equation could not be determined.
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