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Simplifying x2 + -10ix + 9i2 = 0 Reorder the terms: -10ix + 9i2 + x2 = 0 Solving -10ix + 9i2 + x2 = 0 Solving for variable 'i'. Factor a trinomial. (i + -1x)(9i + -1x) = 0Subproblem 1
Set the factor '(i + -1x)' equal to zero and attempt to solve: Simplifying i + -1x = 0 Solving i + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. i + -1x + x = 0 + x Combine like terms: -1x + x = 0 i + 0 = 0 + x i = 0 + x Remove the zero: i = x Simplifying i = xSubproblem 2
Set the factor '(9i + -1x)' equal to zero and attempt to solve: Simplifying 9i + -1x = 0 Solving 9i + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. 9i + -1x + x = 0 + x Combine like terms: -1x + x = 0 9i + 0 = 0 + x 9i = 0 + x Remove the zero: 9i = x Divide each side by '9'. i = 0.1111111111x Simplifying i = 0.1111111111xSolution
i = {x, 0.1111111111x}
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