Solve 9541x*90(50x*3)=4128

$$9541x \times 90(50x \times 3)=4128$$

Solve for x

$$x=\frac{2\sqrt{4102630}}{715575}\approx 0.005661168$$

$$x=-\frac{2\sqrt{4102630}}{715575}\approx -0.005661168$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$9541x^{2}\times 90\times 50\times 3=4128$$

Multiply 9541 and 90 to get 858690.

$$858690x^{2}\times 50\times 3=4128$$

Multiply 858690 and 50 to get 42934500.

$$42934500x^{2}\times 3=4128$$

Multiply 42934500 and 3 to get 128803500.

$$128803500x^{2}=4128$$

Divide both sides by 128803500.

$$x^{2}=\frac{4128}{128803500}$$

Reduce the fraction \frac{4128}{128803500} to lowest terms by extracting and canceling out 12.

$$x^{2}=\frac{344}{10733625}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$9541x^{2}\times 90\times 50\times 3=4128$$

Multiply 9541 and 90 to get 858690.

$$858690x^{2}\times 50\times 3=4128$$

Multiply 858690 and 50 to get 42934500.

$$42934500x^{2}\times 3=4128$$

Multiply 42934500 and 3 to get 128803500.

$$128803500x^{2}=4128$$

Subtract 4128 from both sides.

$$128803500x^{2}-4128=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 128803500 for a, 0 for b, and -4128 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 128803500\left(-4128\right)}}{2\times 128803500}$$

Multiply -4 times 128803500.

$$x=\frac{0±\sqrt{-515214000\left(-4128\right)}}{2\times 128803500}$$

Multiply -515214000 times -4128.

$$x=\frac{0±\sqrt{2126803392000}}{2\times 128803500}$$

Take the square root of 2126803392000.

$$x=\frac{0±720\sqrt{4102630}}{2\times 128803500}$$

Multiply 2 times 128803500.

$$x=\frac{0±720\sqrt{4102630}}{257607000}$$

Now solve the equation x=\frac{0±720\sqrt{4102630}}{257607000} when ± is plus.

$$x=\frac{2\sqrt{4102630}}{715575}$$

Now solve the equation x=\frac{0±720\sqrt{4102630}}{257607000} when ± is minus.

$$x=-\frac{2\sqrt{4102630}}{715575}$$

The equation is now solved.

$$x=\frac{2\sqrt{4102630}}{715575} x=-\frac{2\sqrt{4102630}}{715575}$$