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Simplifying 3x + (x + -1)(x + 3) = x2 + 2 Reorder the terms: 3x + (-1 + x)(x + 3) = x2 + 2 Reorder the terms: 3x + (-1 + x)(3 + x) = x2 + 2 Multiply (-1 + x) * (3 + x) 3x + (-1(3 + x) + x(3 + x)) = x2 + 2 3x + ((3 * -1 + x * -1) + x(3 + x)) = x2 + 2 3x + ((-3 + -1x) + x(3 + x)) = x2 + 2 3x + (-3 + -1x + (3 * x + x * x)) = x2 + 2 3x + (-3 + -1x + (3x + x2)) = x2 + 2 Combine like terms: -1x + 3x = 2x 3x + (-3 + 2x + x2) = x2 + 2 Reorder the terms: -3 + 3x + 2x + x2 = x2 + 2 Combine like terms: 3x + 2x = 5x -3 + 5x + x2 = x2 + 2 Reorder the terms: -3 + 5x + x2 = 2 + x2 Add '-1x2' to each side of the equation. -3 + 5x + x2 + -1x2 = 2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 5x + 0 = 2 + x2 + -1x2 -3 + 5x = 2 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 5x = 2 + 0 -3 + 5x = 2 Solving -3 + 5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 2 + 3 5x = 2 + 3 Combine like terms: 2 + 3 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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