Question

Solve: (x-6) (x + 7) = (x+3)(x - 11
)​

Answer 1

Answer:

x=1

Step-by-step explanation:

x^2+7x-6x-42=x^2-11x+3x-33

X^2+x-42=x^2-8x-33

x^2+x-42-x^2+8x+33

9x-9

9x=9

x=1

Answer 2

$\huge\boxed{\underbrace{\mathbb{\pink{A}\green{n}\color{teal}{s}\orange{w}\blue{e}\red{r:–}}}}$

$\implies (x - 6)(x + 7) = (x + 3)(x - 11)$

$\implies x(x + 7) - 6(x + 7) = x(x - 11) + 3(x - 11)$

$\implies {x}^{2} + 7x - 6x - 42 = {x}^{2} - 11x + 3x - 33$

$\implies {x}^{2} + x - 42 = {x}^{2} - 8x - 33$

$\implies {x}^{2} - {x}^{2} + x- 42 = - 8x - 33$

$\implies \cancel{x}^{2} \cancel { + x}^{2} + x - 42 = - 8x - 33$

$\implies x - 42 = - 8x - 33$

$\implies x + 8x = - 33 + 42$

$\implies 9x = 9$

$\implies x = \frac{9}{9}$

$\implies x = \frac{\cancel{9}}{\cancel{9}} \frac{1}{1}$

$\implies x = 1$

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