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How do we get the answer?

How do we get the answer?-example-1

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6

Explanation:

area of 1 rectangle= area of 2 rectangle

x(x+4) = (2x+3)(x-2)

x² + 4x = 2x² - 4x + 3x - 6

x² + 4x = 2x² - x - 6

x² + 4x - 2x² + x + 6 = 0

-x² + 5x + 6 = 0

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + 1(x - 6)=0

(x+1)(x-6)=0

x = 6,-1

User Insanebits
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