2x² - 6x = 4

x² - 3x = 2 {divided entire equation by 2, getting the coefficient of x² to be 1}

x² - 3x + (9/4) = 2 + (9/4) {took half the coefficient of x, squared it, and added to both sides}

[x - (3/2)]² = 17/4 {factored left side into the square of a binomial, added on right side}

x - (3/2) = ±√(17/4) {took square root of each side}

x - (3/2) = ±√17

------ {evaluated square root of 4}

2

** 3 ± √17
**

x = ----------- {added 3/2 to each side}

** 2***- Algebra House*
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