What is the answer to x(x+3)=(x-2)(x-4) ?

The answer to x(x+3)=(x-2)(x-4) is x= 8/9

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

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

x = \frac{8}{9}

Decimal Notation

x = 0.88888 \dots

Solution steps

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

Expand

x (x + 3) : x^{2} + 3 x

Expand

(x - 2) (x - 4) : x^{2} - 6 x + 8

x^{2} + 3 x = x^{2} - 6 x + 8

Subtract

x^{2} - 6 x

from both sides

x^{2} + 3 x - (x^{2} - 6 x) = x^{2} - 6 x + 8 - (x^{2} - 6 x)

Simplify

9 x = 8

Divide both sides by

9

x = \frac{8}{9}

(x + 2) (x + 3) = (x - 5)^{2}

x, 5 x y - 12 = 2 y

11 x + 4 = 3 (1 - 2 x) + 1

x, 3 x - 5 y = - 13

x, 3 x - 5 y = - 11

What is the answer to x(x+3)=(x-2)(x-4) ?
The answer to x(x+3)=(x-2)(x-4) is x= 8/9
Solve for x: x(x+3)=(x-2)(x-4)
The solution is x= 8/9