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Simplifying 252 = I(I + -4) Reorder the terms: 252 = I(-4 + I) 252 = (-4 * I + I * I) 252 = (-4I + I2) Solving 252 = -4I + I2 Solving for variable 'I'. Reorder the terms: 252 + 4I + -1I2 = -4I + 4I + I2 + -1I2 Combine like terms: -4I + 4I = 0 252 + 4I + -1I2 = 0 + I2 + -1I2 252 + 4I + -1I2 = I2 + -1I2 Combine like terms: I2 + -1I2 = 0 252 + 4I + -1I2 = 0 Factor a trinomial. (18 + -1I)(14 + I) = 0Subproblem 1
Set the factor '(18 + -1I)' equal to zero and attempt to solve: Simplifying 18 + -1I = 0 Solving 18 + -1I = 0 Move all terms containing I to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1I = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1I = 0 + -18 -1I = 0 + -18 Combine like terms: 0 + -18 = -18 -1I = -18 Divide each side by '-1'. I = 18 Simplifying I = 18Subproblem 2
Set the factor '(14 + I)' equal to zero and attempt to solve: Simplifying 14 + I = 0 Solving 14 + I = 0 Move all terms containing I to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + I = 0 + -14 Combine like terms: 14 + -14 = 0 0 + I = 0 + -14 I = 0 + -14 Combine like terms: 0 + -14 = -14 I = -14 Simplifying I = -14Solution
I = {18, -14}
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