Question

(x+7)(x+9)=(x+3)(x+21) in linear equation in one variable

Answer 1

$(x + 7)(x + 9) = (x + 3)(x + 21) \\ = x ^{2} + 9x + 7x + 63 = x ^{2} + 21x + 3x + 63 \\ = x ^{2} - x^{2} + 16x + 63 - 63 - 24x \\ = 16x - 24x \\ = - 8x$
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Answer 2

Given Equation is (x + 7)(x + 9) = (x + 3)(x + 21)

⇒ x^2 + 9x + 7x + 63 = x^2 + 21x + 3x + 63

⇒ x^2 + 16x + 63 = x^2 + 24x + 63

⇒ x^2 + 16x + 63 - x^2 - 24x - 63 = 0

⇒ 16x - 24x = 0

⇒ -8x = 0

⇒ x = 0.

Therefore, the value of x = 0.

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