Solve 16.93*1000000=.36*20*0.48x*1000(x-.42*.48x)

$$16.93 \times 1000000=.36 \times 20 \times 0.48x \times 1000(x-.42 \times .48x)$$

Solve for x

$$x = \frac{625 \sqrt{5068842}}{17964} \approx 78.330581031$$

$$x = -\frac{625 \sqrt{5068842}}{17964} \approx -78.330581031$$

Steps by Finding Square Root

Multiply 16.93 and 1000000 to get 16930000.

$$16930000=0.36\times 20\times 0.48x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 0.36 and 20 to get 7.2.

$$16930000=7.2\times 0.48x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 7.2 and 0.48 to get 3.456.

$$16930000=3.456x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 3.456 and 1000 to get 3456.

$$16930000=3456x\left(x-0.42\times 0.48x\right)$$

Multiply 0.42 and 0.48 to get 0.2016.

$$16930000=3456x\left(x-0.2016x\right)$$

Combine x and -0.2016x to get 0.7984x.

$$16930000=3456x\times 0.7984x$$

Multiply 3456 and 0.7984 to get 2759.2704.

$$16930000=2759.2704xx$$

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

$$16930000=2759.2704x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$2759.2704x^{2}=16930000$$

Divide both sides by 2759.2704.

$$x^{2}=\frac{16930000}{2759.2704}$$

Expand \frac{16930000}{2759.2704} by multiplying both numerator and the denominator by 10000.

$$x^{2}=\frac{169300000000}{27592704}$$

Reduce the fraction \frac{169300000000}{27592704} to lowest terms by extracting and canceling out 256.

$$x^{2}=\frac{661328125}{107784}$$

Take the square root of both sides of the equation.

$$x=\frac{625\sqrt{5068842}}{17964} x=-\frac{625\sqrt{5068842}}{17964}$$

Steps Using the Quadratic Formula

Multiply 16.93 and 1000000 to get 16930000.

$$16930000=0.36\times 20\times 0.48x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 0.36 and 20 to get 7.2.

$$16930000=7.2\times 0.48x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 7.2 and 0.48 to get 3.456.

$$16930000=3.456x\times 1000\left(x-0.42\times 0.48x\right)$$

Multiply 3.456 and 1000 to get 3456.

$$16930000=3456x\left(x-0.42\times 0.48x\right)$$

Multiply 0.42 and 0.48 to get 0.2016.

$$16930000=3456x\left(x-0.2016x\right)$$

Combine x and -0.2016x to get 0.7984x.

$$16930000=3456x\times 0.7984x$$

Multiply 3456 and 0.7984 to get 2759.2704.

$$16930000=2759.2704xx$$

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

$$16930000=2759.2704x^{2}$$

Swap sides so that all variable terms are on the left hand side.

$$2759.2704x^{2}=16930000$$

Subtract 16930000 from both sides.

$$2759.2704x^{2}-16930000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2759.2704 for a, 0 for b, and -16930000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2759.2704\left(-16930000\right)}}{2\times 2759.2704}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2759.2704\left(-16930000\right)}}{2\times 2759.2704}$$

Multiply -4 times 2759.2704.

$$x=\frac{0±\sqrt{-11037.0816\left(-16930000\right)}}{2\times 2759.2704}$$

Multiply -11037.0816 times -16930000.

$$x=\frac{0±\sqrt{186857791488}}{2\times 2759.2704}$$

Take the square root of 186857791488.

$$x=\frac{0±192\sqrt{5068842}}{2\times 2759.2704}$$

Multiply 2 times 2759.2704.

$$x=\frac{0±192\sqrt{5068842}}{5518.5408}$$

Now solve the equation x=\frac{0±192\sqrt{5068842}}{5518.5408} when ± is plus.

$$x=\frac{625\sqrt{5068842}}{17964}$$

Now solve the equation x=\frac{0±192\sqrt{5068842}}{5518.5408} when ± is minus.

$$x=-\frac{625\sqrt{5068842}}{17964}$$

The equation is now solved.

$$x=\frac{625\sqrt{5068842}}{17964} x=-\frac{625\sqrt{5068842}}{17964}$$