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Simplifying X(7x + -4) + x(2x + -3) = (9x + 3)(x + -1) Reorder the terms: X(-4 + 7x) + x(2x + -3) = (9x + 3)(x + -1) (-4 * X + 7x * X) + x(2x + -3) = (9x + 3)(x + -1) (-4X + 7xX) + x(2x + -3) = (9x + 3)(x + -1) Reorder the terms: -4X + 7xX + x(-3 + 2x) = (9x + 3)(x + -1) -4X + 7xX + (-3 * x + 2x * x) = (9x + 3)(x + -1) -4X + 7xX + (-3x + 2x2) = (9x + 3)(x + -1) Reorder the terms: -4X + -3x + 7xX + 2x2 = (9x + 3)(x + -1) Reorder the terms: -4X + -3x + 7xX + 2x2 = (3 + 9x)(x + -1) Reorder the terms: -4X + -3x + 7xX + 2x2 = (3 + 9x)(-1 + x) Multiply (3 + 9x) * (-1 + x) -4X + -3x + 7xX + 2x2 = (3(-1 + x) + 9x * (-1 + x)) -4X + -3x + 7xX + 2x2 = ((-1 * 3 + x * 3) + 9x * (-1 + x)) -4X + -3x + 7xX + 2x2 = ((-3 + 3x) + 9x * (-1 + x)) -4X + -3x + 7xX + 2x2 = (-3 + 3x + (-1 * 9x + x * 9x)) -4X + -3x + 7xX + 2x2 = (-3 + 3x + (-9x + 9x2)) Combine like terms: 3x + -9x = -6x -4X + -3x + 7xX + 2x2 = (-3 + -6x + 9x2) Solving -4X + -3x + 7xX + 2x2 = -3 + -6x + 9x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3x' to each side of the equation. -4X + -3x + 7xX + 3x + 2x2 = -3 + -6x + 3x + 9x2 Reorder the terms: -4X + -3x + 3x + 7xX + 2x2 = -3 + -6x + 3x + 9x2 Combine like terms: -3x + 3x = 0 -4X + 0 + 7xX + 2x2 = -3 + -6x + 3x + 9x2 -4X + 7xX + 2x2 = -3 + -6x + 3x + 9x2 Combine like terms: -6x + 3x = -3x -4X + 7xX + 2x2 = -3 + -3x + 9x2 Add '-2x2' to each side of the equation. -4X + 7xX + 2x2 + -2x2 = -3 + -3x + 9x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4X + 7xX + 0 = -3 + -3x + 9x2 + -2x2 -4X + 7xX = -3 + -3x + 9x2 + -2x2 Combine like terms: 9x2 + -2x2 = 7x2 -4X + 7xX = -3 + -3x + 7x2 Reorder the terms: 3 + -4X + 3x + 7xX + -7x2 = -3 + -3x + 7x2 + 3 + 3x + -7x2 Reorder the terms: 3 + -4X + 3x + 7xX + -7x2 = -3 + 3 + -3x + 3x + 7x2 + -7x2 Combine like terms: -3 + 3 = 0 3 + -4X + 3x + 7xX + -7x2 = 0 + -3x + 3x + 7x2 + -7x2 3 + -4X + 3x + 7xX + -7x2 = -3x + 3x + 7x2 + -7x2 Combine like terms: -3x + 3x = 0 3 + -4X + 3x + 7xX + -7x2 = 0 + 7x2 + -7x2 3 + -4X + 3x + 7xX + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 3 + -4X + 3x + 7xX + -7x2 = 0 The solution to this equation could not be determined.
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