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Simplifying x(x + b) = a(a + b) Reorder the terms: x(b + x) = a(a + b) (b * x + x * x) = a(a + b) (bx + x2) = a(a + b) bx + x2 = (a * a + b * a) Reorder the terms: bx + x2 = (ab + a2) bx + x2 = (ab + a2) Solving bx + x2 = ab + a2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1ab' to each side of the equation. bx + -1ab + x2 = ab + -1ab + a2 Reorder the terms: -1ab + bx + x2 = ab + -1ab + a2 Combine like terms: ab + -1ab = 0 -1ab + bx + x2 = 0 + a2 -1ab + bx + x2 = a2 Add '-1x2' to each side of the equation. -1ab + bx + x2 + -1x2 = a2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1ab + bx + 0 = a2 + -1x2 -1ab + bx = a2 + -1x2 Reorder the terms: -1ab + -1a2 + bx + x2 = a2 + -1x2 + -1a2 + x2 Reorder the terms: -1ab + -1a2 + bx + x2 = a2 + -1a2 + -1x2 + x2 Combine like terms: a2 + -1a2 = 0 -1ab + -1a2 + bx + x2 = 0 + -1x2 + x2 -1ab + -1a2 + bx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1ab + -1a2 + bx + x2 = 0 The solution to this equation could not be determined.
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