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Simplifying x2 + 4 = (x + 1)(x + 3) Reorder the terms: 4 + x2 = (x + 1)(x + 3) Reorder the terms: 4 + x2 = (1 + x)(x + 3) Reorder the terms: 4 + x2 = (1 + x)(3 + x) Multiply (1 + x) * (3 + x) 4 + x2 = (1(3 + x) + x(3 + x)) 4 + x2 = ((3 * 1 + x * 1) + x(3 + x)) 4 + x2 = ((3 + 1x) + x(3 + x)) 4 + x2 = (3 + 1x + (3 * x + x * x)) 4 + x2 = (3 + 1x + (3x + x2)) Combine like terms: 1x + 3x = 4x 4 + x2 = (3 + 4x + x2) Add '-1x2' to each side of the equation. 4 + x2 + -1x2 = 3 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 0 = 3 + 4x + x2 + -1x2 4 = 3 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 = 3 + 4x + 0 4 = 3 + 4x Solving 4 = 3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + -4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = 3 + 0 4 + -4x = 3 Add '-4' to each side of the equation. 4 + -4 + -4x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 3 + -4 -4x = 3 + -4 Combine like terms: 3 + -4 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25
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