Question

Solve: (x – 4)(x + 3) = (x + 2)(x + 4)​

Answer 1

Answer:

(x – 4)(x + 3) = (x + 2)(x + 4)

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

x^2+3x-4x-12=x^2+4x+2x+8

x^2-x-12=x^2+6x+8

-x-12=6x+8 (x^2 & x^2 be cancelled)

7x=-20

x=-20/7

Answer 2

$\huge{ \pink{Question:- }}$

$\sf \: Solve: (x – 4)(x + 3) = (x + 2)(x + 4)$

${ \huge{ \red{ \mathscr{Solution:- }}}}$

$\: \: \: \: \: \: \red{ : } \implies \sf \: (x – 4)(x + 3) = (x + 2)(x + 4)$

$\sf \pink \implies \: x(x + 3) - 4(x + 3) = x(x + 4) + 2(x + 4)$

$\sf \: \: \: \: \: \: \: \: \: \: \: \implies \: {x}^{2} + 3x - 4x + 12 = {x}^{2} + 4x + 2x +8$

$\sf \: \: \: \: \: \: \: \: \: \: \: \implies \: \cancel{{x}^{2}} - x + 12 = \cancel{x}^{2} + 6x + 8$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \implies \sf \: - x - 6x = 8-12$

$\sf \: \: \: \: \: \: \: \: \: \: \implies \: - 7 x = -4$

$\: \: \: \: \: \: \: \: \sf \implies \: x = \frac{ - 7}{ - 4}$

$\bf{ \underline{{ \orange{ \therefore \: the \: value \: of \: x \: = \frac{ - 7}{ - 4} }}}}$

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• Hope it helps you :)