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Simplifying X(3x + -6) = (3x + 4)(x + -5) Reorder the terms: X(-6 + 3x) = (3x + 4)(x + -5) (-6 * X + 3x * X) = (3x + 4)(x + -5) (-6X + 3xX) = (3x + 4)(x + -5) Reorder the terms: -6X + 3xX = (4 + 3x)(x + -5) Reorder the terms: -6X + 3xX = (4 + 3x)(-5 + x) Multiply (4 + 3x) * (-5 + x) -6X + 3xX = (4(-5 + x) + 3x * (-5 + x)) -6X + 3xX = ((-5 * 4 + x * 4) + 3x * (-5 + x)) -6X + 3xX = ((-20 + 4x) + 3x * (-5 + x)) -6X + 3xX = (-20 + 4x + (-5 * 3x + x * 3x)) -6X + 3xX = (-20 + 4x + (-15x + 3x2)) Combine like terms: 4x + -15x = -11x -6X + 3xX = (-20 + -11x + 3x2) Solving -6X + 3xX = -20 + -11x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 20 + -6X + 11x + 3xX + -3x2 = -20 + -11x + 3x2 + 20 + 11x + -3x2 Reorder the terms: 20 + -6X + 11x + 3xX + -3x2 = -20 + 20 + -11x + 11x + 3x2 + -3x2 Combine like terms: -20 + 20 = 0 20 + -6X + 11x + 3xX + -3x2 = 0 + -11x + 11x + 3x2 + -3x2 20 + -6X + 11x + 3xX + -3x2 = -11x + 11x + 3x2 + -3x2 Combine like terms: -11x + 11x = 0 20 + -6X + 11x + 3xX + -3x2 = 0 + 3x2 + -3x2 20 + -6X + 11x + 3xX + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 20 + -6X + 11x + 3xX + -3x2 = 0 The solution to this equation could not be determined.
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