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