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Simplifying X(x + -3) = (x + 4)(x + -5) Reorder the terms: X(-3 + x) = (x + 4)(x + -5) (-3 * X + x * X) = (x + 4)(x + -5) (-3X + xX) = (x + 4)(x + -5) Reorder the terms: -3X + xX = (4 + x)(x + -5) Reorder the terms: -3X + xX = (4 + x)(-5 + x) Multiply (4 + x) * (-5 + x) -3X + xX = (4(-5 + x) + x(-5 + x)) -3X + xX = ((-5 * 4 + x * 4) + x(-5 + x)) -3X + xX = ((-20 + 4x) + x(-5 + x)) -3X + xX = (-20 + 4x + (-5 * x + x * x)) -3X + xX = (-20 + 4x + (-5x + x2)) Combine like terms: 4x + -5x = -1x -3X + xX = (-20 + -1x + x2) Solving -3X + xX = -20 + -1x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 20 + -3X + x + xX + -1x2 = -20 + -1x + x2 + 20 + x + -1x2 Reorder the terms: 20 + -3X + x + xX + -1x2 = -20 + 20 + -1x + x + x2 + -1x2 Combine like terms: -20 + 20 = 0 20 + -3X + x + xX + -1x2 = 0 + -1x + x + x2 + -1x2 20 + -3X + x + xX + -1x2 = -1x + x + x2 + -1x2 Combine like terms: -1x + x = 0 20 + -3X + x + xX + -1x2 = 0 + x2 + -1x2 20 + -3X + x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + -3X + x + xX + -1x2 = 0 The solution to this equation could not be determined.
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