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Simplifying (2 + -1yi)(2 + -1yi) = 0 Multiply (2 + -1iy) * (2 + -1iy) (2(2 + -1iy) + -1iy * (2 + -1iy)) = 0 ((2 * 2 + -1iy * 2) + -1iy * (2 + -1iy)) = 0 ((4 + -2iy) + -1iy * (2 + -1iy)) = 0 (4 + -2iy + (2 * -1iy + -1iy * -1iy)) = 0 (4 + -2iy + (-2iy + 1i2y2)) = 0 Combine like terms: -2iy + -2iy = -4iy (4 + -4iy + 1i2y2) = 0 Solving 4 + -4iy + 1i2y2 = 0 Solving for variable 'i'. Factor a trinomial. (2 + -1iy)(2 + -1iy) = 0Subproblem 1
Set the factor '(2 + -1iy)' equal to zero and attempt to solve: Simplifying 2 + -1iy = 0 Solving 2 + -1iy = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1iy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1iy = 0 + -2 -1iy = 0 + -2 Combine like terms: 0 + -2 = -2 -1iy = -2 Divide each side by '-1y'. i = 2y-1 Simplifying i = 2y-1Subproblem 2
Set the factor '(2 + -1iy)' equal to zero and attempt to solve: Simplifying 2 + -1iy = 0 Solving 2 + -1iy = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1iy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1iy = 0 + -2 -1iy = 0 + -2 Combine like terms: 0 + -2 = -2 -1iy = -2 Divide each side by '-1y'. i = 2y-1 Simplifying i = 2y-1Solution
i = {2y-1, 2y-1}
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