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Simplifying (X + 5)(x2 + 2x + -48) = 0 Reorder the terms: (5 + X)(x2 + 2x + -48) = 0 Reorder the terms: (5 + X)(-48 + 2x + x2) = 0 Multiply (5 + X) * (-48 + 2x + x2) (5(-48 + 2x + x2) + X(-48 + 2x + x2)) = 0 ((-48 * 5 + 2x * 5 + x2 * 5) + X(-48 + 2x + x2)) = 0 ((-240 + 10x + 5x2) + X(-48 + 2x + x2)) = 0 (-240 + 10x + 5x2 + (-48 * X + 2x * X + x2 * X)) = 0 (-240 + 10x + 5x2 + (-48X + 2xX + x2X)) = 0 Reorder the terms: (-240 + -48X + 10x + 2xX + 5x2 + x2X) = 0 (-240 + -48X + 10x + 2xX + 5x2 + x2X) = 0 Solving -240 + -48X + 10x + 2xX + 5x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '240' to each side of the equation. -240 + -48X + 10x + 2xX + 5x2 + 240 + x2X = 0 + 240 Reorder the terms: -240 + 240 + -48X + 10x + 2xX + 5x2 + x2X = 0 + 240 Combine like terms: -240 + 240 = 0 0 + -48X + 10x + 2xX + 5x2 + x2X = 0 + 240 -48X + 10x + 2xX + 5x2 + x2X = 0 + 240 Combine like terms: 0 + 240 = 240 -48X + 10x + 2xX + 5x2 + x2X = 240 Add '-10x' to each side of the equation. -48X + 10x + 2xX + 5x2 + -10x + x2X = 240 + -10x Reorder the terms: -48X + 10x + -10x + 2xX + 5x2 + x2X = 240 + -10x Combine like terms: 10x + -10x = 0 -48X + 0 + 2xX + 5x2 + x2X = 240 + -10x -48X + 2xX + 5x2 + x2X = 240 + -10x Add '-5x2' to each side of the equation. -48X + 2xX + 5x2 + -5x2 + x2X = 240 + -10x + -5x2 Combine like terms: 5x2 + -5x2 = 0 -48X + 2xX + 0 + x2X = 240 + -10x + -5x2 -48X + 2xX + x2X = 240 + -10x + -5x2 Reorder the terms: -240 + -48X + 10x + 2xX + 5x2 + x2X = 240 + -10x + -5x2 + -240 + 10x + 5x2 Reorder the terms: -240 + -48X + 10x + 2xX + 5x2 + x2X = 240 + -240 + -10x + 10x + -5x2 + 5x2 Combine like terms: 240 + -240 = 0 -240 + -48X + 10x + 2xX + 5x2 + x2X = 0 + -10x + 10x + -5x2 + 5x2 -240 + -48X + 10x + 2xX + 5x2 + x2X = -10x + 10x + -5x2 + 5x2 Combine like terms: -10x + 10x = 0 -240 + -48X + 10x + 2xX + 5x2 + x2X = 0 + -5x2 + 5x2 -240 + -48X + 10x + 2xX + 5x2 + x2X = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -240 + -48X + 10x + 2xX + 5x2 + x2X = 0 The solution to this equation could not be determined.
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