What is the answer to x(x-3)=x^2+5x+7 ?

The answer to x(x-3)=x^2+5x+7 is x=-7/8

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x(x-3)=x^2+5x+7

x (x - 3) = x^{2} + 5 x + 7

x = - \frac{7}{8}

Decimal Notation

x = - 0.875

Solution steps

x (x - 3) = x^{2} + 5 x + 7

Expand

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

x^{2} - 3 x = x^{2} + 5 x + 7

Subtract

x^{2} + 5 x

from both sides

x^{2} - 3 x - (x^{2} + 5 x) = x^{2} + 5 x + 7 - (x^{2} + 5 x)

Simplify

- 8 x = 7

Divide both sides by

- 8

x = - \frac{7}{8}

2 x - 3 = - x + 3

∣ x + 3 ∣ = - 2 x + 9

500

(x - 1) (x - 2) (x - 3) < 0

5 - 5