What is the answer to x(x+1)=(x-4)(x+3) ?

The answer to x(x+1)=(x-4)(x+3) is x=-6

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x(x+1)=(x-4)(x+3)

x (x + 1) = (x - 4) (x + 3)

x = - 6

Solution steps

x (x + 1) = (x - 4) (x + 3)

Expand

x (x + 1) : x^{2} + x

Expand

(x - 4) (x + 3) : x^{2} - x - 12

x^{2} + x = x^{2} - x - 12

Subtract

x^{2} - x

from both sides

x^{2} + x - (x^{2} - x) = x^{2} - x - 12 - (x^{2} - x)

Simplify

2 x = - 12

Divide both sides by

2

x = - 6

- 4 y = 6

- 4 y = 8

12 x - 4 = 0

10 (x + 10) - 4 = 11 - 5 (2 x + 11)

x + 5 = 27 x

What is the answer to x(x+1)=(x-4)(x+3) ?
The answer to x(x+1)=(x-4)(x+3) is x=-6
Solve for x: x(x+1)=(x-4)(x+3)
The solution is x=-6