How do you solve this equation for x?

x² + 3x + 2

--------------- = 10

x - 1

x² + 3x + 2

--------------- = 10

x - 1

x² + 3x + 2 = 10(x - 1) {multiplied both sides by x - 1}

x² + 3x + 2 = 10x - 10 {used distributive property on right side}

x² - 7x + 12 = 0 {subtracted 10x and added 10 to both sides}

(x - 4)(x - 3) = 0 {factored left side into two binomials}

x - 4 = 0 or x - 3 = 0 {set each factor equal to 0}

**x = 4 or x = 3**{solved each equation for x}

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