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Simplifying 10 = 7I + -1I2 Solving 10 = 7I + -1I2 Solving for variable 'I'. Reorder the terms: 10 + -7I + I2 = 7I + -7I + -1I2 + I2 Combine like terms: 7I + -7I = 0 10 + -7I + I2 = 0 + -1I2 + I2 10 + -7I + I2 = -1I2 + I2 Combine like terms: -1I2 + I2 = 0 10 + -7I + I2 = 0 Factor a trinomial. (2 + -1I)(5 + -1I) = 0Subproblem 1
Set the factor '(2 + -1I)' equal to zero and attempt to solve: Simplifying 2 + -1I = 0 Solving 2 + -1I = 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 + -1I = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1I = 0 + -2 -1I = 0 + -2 Combine like terms: 0 + -2 = -2 -1I = -2 Divide each side by '-1'. I = 2 Simplifying I = 2Subproblem 2
Set the factor '(5 + -1I)' equal to zero and attempt to solve: Simplifying 5 + -1I = 0 Solving 5 + -1I = 0 Move all terms containing I to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1I = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1I = 0 + -5 -1I = 0 + -5 Combine like terms: 0 + -5 = -5 -1I = -5 Divide each side by '-1'. I = 5 Simplifying I = 5Solution
I = {2, 5}
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