Solve x(x+4)-3=4(x+195)

$$x ( x + 4 ) - 3 = 4 ( x + 195 )$$

Solve for x

$$x=3\sqrt{87}\approx 27.982137159$$

$$x=-3\sqrt{87}\approx -27.982137159$$

Steps by Finding Square Root

Use the distributive property to multiply x by x+4.

$$x^{2}+4x-3=4\left(x+195\right)$$

Use the distributive property to multiply 4 by x+195.

$$x^{2}+4x-3=4x+780$$

Subtract 4x from both sides.

$$x^{2}+4x-3-4x=780$$

Combine 4x and -4x to get 0.

$$x^{2}-3=780$$

Add 3 to both sides.

$$x^{2}=780+3$$

Add 780 and 3 to get 783.

$$x^{2}=783$$

Take the square root of both sides of the equation.

$$x=3\sqrt{87} x=-3\sqrt{87}$$

Steps Using the Quadratic Formula

Use the distributive property to multiply x by x+4.

$$x^{2}+4x-3=4\left(x+195\right)$$

Use the distributive property to multiply 4 by x+195.

$$x^{2}+4x-3=4x+780$$

Subtract 4x from both sides.

$$x^{2}+4x-3-4x=780$$

Combine 4x and -4x to get 0.

$$x^{2}-3=780$$

Subtract 780 from both sides.

$$x^{2}-3-780=0$$

Subtract 780 from -3 to get -783.

$$x^{2}-783=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -783 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-783\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-783\right)}}{2}$$

Multiply -4 times -783.

$$x=\frac{0±\sqrt{3132}}{2}$$

Take the square root of 3132.

$$x=\frac{0±6\sqrt{87}}{2}$$

Now solve the equation x=\frac{0±6\sqrt{87}}{2} when ± is plus.

$$x=3\sqrt{87}$$

Now solve the equation x=\frac{0±6\sqrt{87}}{2} when ± is minus.

$$x=-3\sqrt{87}$$

The equation is now solved.

$$x=3\sqrt{87} x=-3\sqrt{87}$$