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Simplifying X(x + 5) + y = (x + 2)(x + -2) Reorder the terms: X(5 + x) + y = (x + 2)(x + -2) (5 * X + x * X) + y = (x + 2)(x + -2) (5X + xX) + y = (x + 2)(x + -2) Reorder the terms: 5X + xX + y = (2 + x)(x + -2) Reorder the terms: 5X + xX + y = (2 + x)(-2 + x) Multiply (2 + x) * (-2 + x) 5X + xX + y = (2(-2 + x) + x(-2 + x)) 5X + xX + y = ((-2 * 2 + x * 2) + x(-2 + x)) 5X + xX + y = ((-4 + 2x) + x(-2 + x)) 5X + xX + y = (-4 + 2x + (-2 * x + x * x)) 5X + xX + y = (-4 + 2x + (-2x + x2)) Combine like terms: 2x + -2x = 0 5X + xX + y = (-4 + 0 + x2) 5X + xX + y = (-4 + x2) Solving 5X + xX + y = -4 + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1y' to each side of the equation. 5X + xX + y + -1y = -4 + x2 + -1y Combine like terms: y + -1y = 0 5X + xX + 0 = -4 + x2 + -1y 5X + xX = -4 + x2 + -1y Reorder the terms: 4 + 5X + xX + -1x2 + y = -4 + x2 + -1y + 4 + -1x2 + y Reorder the terms: 4 + 5X + xX + -1x2 + y = -4 + 4 + x2 + -1x2 + -1y + y Combine like terms: -4 + 4 = 0 4 + 5X + xX + -1x2 + y = 0 + x2 + -1x2 + -1y + y 4 + 5X + xX + -1x2 + y = x2 + -1x2 + -1y + y Combine like terms: x2 + -1x2 = 0 4 + 5X + xX + -1x2 + y = 0 + -1y + y 4 + 5X + xX + -1x2 + y = -1y + y Combine like terms: -1y + y = 0 4 + 5X + xX + -1x2 + y = 0 The solution to this equation could not be determined.
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