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Simplifying xi * bi = xu * bu Multiply ix * bi bi2x = xu * bu Multiply ux * bu bi2x = bu2x Solving bi2x = bu2x Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1bu2x' to each side of the equation. bi2x + -1bu2x = bu2x + -1bu2x Combine like terms: bu2x + -1bu2x = 0 bi2x + -1bu2x = 0 Factor out the Greatest Common Factor (GCF), 'bx'. bx(i2 + -1u2) = 0 Factor a difference between two squares. bx((i + u)(i + -1u)) = 0Subproblem 1
Set the factor 'bx' equal to zero and attempt to solve: Simplifying bx = 0 Solving bx = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(i + u)' equal to zero and attempt to solve: Simplifying i + u = 0 Solving i + u = 0 Move all terms containing b to the left, all other terms to the right. Add '-1i' to each side of the equation. i + -1i + u = 0 + -1i Combine like terms: i + -1i = 0 0 + u = 0 + -1i u = 0 + -1i Remove the zero: u = -1i Add '-1u' to each side of the equation. u + -1u = -1i + -1u Combine like terms: u + -1u = 0 0 = -1i + -1u Simplifying 0 = -1i + -1u The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(i + -1u)' equal to zero and attempt to solve: Simplifying i + -1u = 0 Solving i + -1u = 0 Move all terms containing b to the left, all other terms to the right. Add '-1i' to each side of the equation. i + -1i + -1u = 0 + -1i Combine like terms: i + -1i = 0 0 + -1u = 0 + -1i -1u = 0 + -1i Remove the zero: -1u = -1i Add 'u' to each side of the equation. -1u + u = -1i + u Combine like terms: -1u + u = 0 0 = -1i + u Simplifying 0 = -1i + u The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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