What is the answer to x(x-2)+12=(x+1)(x-2) ?

The answer to x(x-2)+12=(x+1)(x-2) is x=14

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x(x-2)+12=(x+1)(x-2)

x (x - 2) + 12 = (x + 1) (x - 2)

x = 14

Solution steps

x (x - 2) + 12 = (x + 1) (x - 2)

Expand

x (x - 2) : x^{2} - 2 x

x^{2} - 2 x + 12 = (x + 1) (x - 2)

Expand

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

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

Move

12

to the right side

x^{2} - 2 x = x^{2} - x - 14

Subtract

x^{2} - x

from both sides

x^{2} - 2 x - (x^{2} - x) = x^{2} - x - 14 - (x^{2} - x)

Simplify

- x = - 14

Divide both sides by

- 1

x = 14

\frac{2}{3} s + 12 = - \frac{2}{3} s + 14

2 x - 1 \geq x

\frac{a}{\frac{b}{c}}

12 x^{2} y \cdot 3 x y^{4}

2 x^{2} - 15 x - 8 = 0

What is the answer to x(x-2)+12=(x+1)(x-2) ?
The answer to x(x-2)+12=(x+1)(x-2) is x=14
Solve for x: x(x-2)+12=(x+1)(x-2)
The solution is x=14