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Simplifying X(3x + -1) + -4x(x + 1) = 0 Reorder the terms: X(-1 + 3x) + -4x(x + 1) = 0 (-1 * X + 3x * X) + -4x(x + 1) = 0 (-1X + 3xX) + -4x(x + 1) = 0 Reorder the terms: -1X + 3xX + -4x(1 + x) = 0 -1X + 3xX + (1 * -4x + x * -4x) = 0 -1X + 3xX + (-4x + -4x2) = 0 Reorder the terms: -1X + -4x + 3xX + -4x2 = 0 Solving -1X + -4x + 3xX + -4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. -1X + -4x + 3xX + 4x + -4x2 = 0 + 4x Reorder the terms: -1X + -4x + 4x + 3xX + -4x2 = 0 + 4x Combine like terms: -4x + 4x = 0 -1X + 0 + 3xX + -4x2 = 0 + 4x -1X + 3xX + -4x2 = 0 + 4x Remove the zero: -1X + 3xX + -4x2 = 4x Add '4x2' to each side of the equation. -1X + 3xX + -4x2 + 4x2 = 4x + 4x2 Combine like terms: -4x2 + 4x2 = 0 -1X + 3xX + 0 = 4x + 4x2 -1X + 3xX = 4x + 4x2 Reorder the terms: -1X + -4x + 3xX + -4x2 = 4x + 4x2 + -4x + -4x2 Reorder the terms: -1X + -4x + 3xX + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 -1X + -4x + 3xX + -4x2 = 0 + 4x2 + -4x2 -1X + -4x + 3xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1X + -4x + 3xX + -4x2 = 0 The solution to this equation could not be determined.
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