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Simplifying x2 + bx + 64 = (x + p2) Reorder the terms: 64 + bx + x2 = (x + p2) Reorder the terms: 64 + bx + x2 = (p2 + x) Remove parenthesis around (p2 + x) 64 + bx + x2 = p2 + x Solving 64 + bx + x2 = p2 + x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + bx + -64 + x2 = p2 + -64 + x Reorder the terms: 64 + -64 + bx + x2 = p2 + -64 + x Combine like terms: 64 + -64 = 0 0 + bx + x2 = p2 + -64 + x bx + x2 = p2 + -64 + x Reorder the terms: bx + x2 = -64 + p2 + x Add '-1x2' to each side of the equation. bx + x2 + -1x2 = -64 + p2 + x + -1x2 Combine like terms: x2 + -1x2 = 0 bx + 0 = -64 + p2 + x + -1x2 bx = -64 + p2 + x + -1x2 Divide each side by 'x'. b = -64x-1 + p2x-1 + 1 + -1x Simplifying b = -64x-1 + p2x-1 + 1 + -1x Reorder the terms: b = 1 + p2x-1 + -64x-1 + -1x
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