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Simplifying (2x + 1)(X + -3x + -5) = 0 Reorder the terms: (1 + 2x)(X + -3x + -5) = 0 Reorder the terms: (1 + 2x)(-5 + X + -3x) = 0 Multiply (1 + 2x) * (-5 + X + -3x) (1(-5 + X + -3x) + 2x * (-5 + X + -3x)) = 0 ((-5 * 1 + X * 1 + -3x * 1) + 2x * (-5 + X + -3x)) = 0 ((-5 + 1X + -3x) + 2x * (-5 + X + -3x)) = 0 (-5 + 1X + -3x + (-5 * 2x + X * 2x + -3x * 2x)) = 0 (-5 + 1X + -3x + (-10x + 2xX + -6x2)) = 0 Combine like terms: -3x + -10x = -13x (-5 + 1X + -13x + 2xX + -6x2) = 0 Solving -5 + 1X + -13x + 2xX + -6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1X + -13x + 2xX + 5 + -6x2 = 0 + 5 Reorder the terms: -5 + 5 + 1X + -13x + 2xX + -6x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1X + -13x + 2xX + -6x2 = 0 + 5 1X + -13x + 2xX + -6x2 = 0 + 5 Combine like terms: 0 + 5 = 5 1X + -13x + 2xX + -6x2 = 5 Add '13x' to each side of the equation. 1X + -13x + 2xX + 13x + -6x2 = 5 + 13x Reorder the terms: 1X + -13x + 13x + 2xX + -6x2 = 5 + 13x Combine like terms: -13x + 13x = 0 1X + 0 + 2xX + -6x2 = 5 + 13x 1X + 2xX + -6x2 = 5 + 13x Add '6x2' to each side of the equation. 1X + 2xX + -6x2 + 6x2 = 5 + 13x + 6x2 Combine like terms: -6x2 + 6x2 = 0 1X + 2xX + 0 = 5 + 13x + 6x2 1X + 2xX = 5 + 13x + 6x2 Reorder the terms: -5 + 1X + -13x + 2xX + -6x2 = 5 + 13x + 6x2 + -5 + -13x + -6x2 Reorder the terms: -5 + 1X + -13x + 2xX + -6x2 = 5 + -5 + 13x + -13x + 6x2 + -6x2 Combine like terms: 5 + -5 = 0 -5 + 1X + -13x + 2xX + -6x2 = 0 + 13x + -13x + 6x2 + -6x2 -5 + 1X + -13x + 2xX + -6x2 = 13x + -13x + 6x2 + -6x2 Combine like terms: 13x + -13x = 0 -5 + 1X + -13x + 2xX + -6x2 = 0 + 6x2 + -6x2 -5 + 1X + -13x + 2xX + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -5 + 1X + -13x + 2xX + -6x2 = 0 The solution to this equation could not be determined.
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