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