What is the answer to x(x+2)=3+x(x-5) ?

The answer to x(x+2)=3+x(x-5) is x= 3/7

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x(x+2)=3+x(x-5)

x (x + 2) = 3 + x (x - 5)

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

x (x + 2) = 3 + x (x - 5)

Expand

x (x - 5) : x^{2} - 5 x

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

Expand

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

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

Subtract

x^{2} - 5 x

from both sides

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

Simplify

7 x = 3

Divide both sides by

7

x = \frac{3}{7}

2 x^{2} + 9 x - 35

i^{44}

2 z^{2} + 13 z + 15

(4 - 3 i) (2 + 6 i)

(2 W + 7) (W - 11) = 0