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Simplifying (x + -1b)(c + x) = x2 + 8x + 16 Reorder the terms: (-1b + x)(c + x) = x2 + 8x + 16 Multiply (-1b + x) * (c + x) (-1b * (c + x) + x(c + x)) = x2 + 8x + 16 ((c * -1b + x * -1b) + x(c + x)) = x2 + 8x + 16 ((-1bc + -1bx) + x(c + x)) = x2 + 8x + 16 (-1bc + -1bx + (c * x + x * x)) = x2 + 8x + 16 (-1bc + -1bx + (cx + x2)) = x2 + 8x + 16 (-1bc + -1bx + cx + x2) = x2 + 8x + 16 Reorder the terms: -1bc + -1bx + cx + x2 = 16 + 8x + x2 Add '-1x2' to each side of the equation. -1bc + -1bx + cx + x2 + -1x2 = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1bc + -1bx + cx + 0 = 16 + 8x + x2 + -1x2 -1bc + -1bx + cx = 16 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1bc + -1bx + cx = 16 + 8x + 0 -1bc + -1bx + cx = 16 + 8x Solving -1bc + -1bx + cx = 16 + 8x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1cx' to each side of the equation. -1bc + -1bx + cx + -1cx = 16 + -1cx + 8x Combine like terms: cx + -1cx = 0 -1bc + -1bx + 0 = 16 + -1cx + 8x -1bc + -1bx = 16 + -1cx + 8x Reorder the terms: -16 + -1bc + -1bx + cx + -8x = 16 + -1cx + 8x + -16 + cx + -8x Reorder the terms: -16 + -1bc + -1bx + cx + -8x = 16 + -16 + -1cx + cx + 8x + -8x Combine like terms: 16 + -16 = 0 -16 + -1bc + -1bx + cx + -8x = 0 + -1cx + cx + 8x + -8x -16 + -1bc + -1bx + cx + -8x = -1cx + cx + 8x + -8x Combine like terms: -1cx + cx = 0 -16 + -1bc + -1bx + cx + -8x = 0 + 8x + -8x -16 + -1bc + -1bx + cx + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -1bc + -1bx + cx + -8x = 0 The solution to this equation could not be determined.
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