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Simplifying (X + -8)(x2 + -5x + 6) = 0 Reorder the terms: (-8 + X)(x2 + -5x + 6) = 0 Reorder the terms: (-8 + X)(6 + -5x + x2) = 0 Multiply (-8 + X) * (6 + -5x + x2) (-8(6 + -5x + x2) + X(6 + -5x + x2)) = 0 ((6 * -8 + -5x * -8 + x2 * -8) + X(6 + -5x + x2)) = 0 ((-48 + 40x + -8x2) + X(6 + -5x + x2)) = 0 (-48 + 40x + -8x2 + (6 * X + -5x * X + x2 * X)) = 0 (-48 + 40x + -8x2 + (6X + -5xX + x2X)) = 0 Reorder the terms: (-48 + 6X + 40x + -5xX + -8x2 + x2X) = 0 (-48 + 6X + 40x + -5xX + -8x2 + x2X) = 0 Solving -48 + 6X + 40x + -5xX + -8x2 + x2X = 0 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 + 6X + 40x + -5xX + -8x2 + 48 + x2X = 0 + 48 Reorder the terms: -48 + 48 + 6X + 40x + -5xX + -8x2 + x2X = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 6X + 40x + -5xX + -8x2 + x2X = 0 + 48 6X + 40x + -5xX + -8x2 + x2X = 0 + 48 Combine like terms: 0 + 48 = 48 6X + 40x + -5xX + -8x2 + x2X = 48 Add '-40x' to each side of the equation. 6X + 40x + -5xX + -8x2 + -40x + x2X = 48 + -40x Reorder the terms: 6X + 40x + -40x + -5xX + -8x2 + x2X = 48 + -40x Combine like terms: 40x + -40x = 0 6X + 0 + -5xX + -8x2 + x2X = 48 + -40x 6X + -5xX + -8x2 + x2X = 48 + -40x Add '8x2' to each side of the equation. 6X + -5xX + -8x2 + 8x2 + x2X = 48 + -40x + 8x2 Combine like terms: -8x2 + 8x2 = 0 6X + -5xX + 0 + x2X = 48 + -40x + 8x2 6X + -5xX + x2X = 48 + -40x + 8x2 Reorder the terms: -48 + 6X + 40x + -5xX + -8x2 + x2X = 48 + -40x + 8x2 + -48 + 40x + -8x2 Reorder the terms: -48 + 6X + 40x + -5xX + -8x2 + x2X = 48 + -48 + -40x + 40x + 8x2 + -8x2 Combine like terms: 48 + -48 = 0 -48 + 6X + 40x + -5xX + -8x2 + x2X = 0 + -40x + 40x + 8x2 + -8x2 -48 + 6X + 40x + -5xX + -8x2 + x2X = -40x + 40x + 8x2 + -8x2 Combine like terms: -40x + 40x = 0 -48 + 6X + 40x + -5xX + -8x2 + x2X = 0 + 8x2 + -8x2 -48 + 6X + 40x + -5xX + -8x2 + x2X = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -48 + 6X + 40x + -5xX + -8x2 + x2X = 0 The solution to this equation could not be determined.
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