What is the answer to (0.2+x)/((2-2x)^2)=0.078 ?

The answer to (0.2+x)/((2-2x)^2)=0.078 is x=(203+5sqrt(1561))/(78),x=(203-5sqrt(1561))/(78)

Solve for x: (0.2+x)/((2-2x)^2)=0.078

The solution is x=(203+5sqrt(1561))/(78),x=(203-5sqrt(1561))/(78)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{0.2 + x}{( 2 - 2 x ) ^{2}} = 0.078

x = \frac{203 + 5 1561}{78}, x = \frac{203 - 5 1561}{78}

Decimal Notation

x = 5.13522 \dots, x = 0.06990 \dots

Solution steps

\frac{0.2 + x}{( 2 - 2 x ) ^{2}} = 0.078

Multiply both sides by

(2 - 2 x)^{2}

0.2 + x = 0.078 (2 - 2 x)^{2}

Solve

0.2 + x = 0.078 (2 - 2 x)^{2} : x = \frac{203 + 5 1561}{78}, x = \frac{203 - 5 1561}{78}

x = \frac{203 + 5 1561}{78}, x = \frac{203 - 5 1561}{78}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{203 + 5 1561}{78}, x = \frac{203 - 5 1561}{78}

\frac{x}{x + 2} = \frac{2}{x + 2} - 3

\frac{5}{4} = \frac{5}{x}

2.2 = \frac{4}{x}

\frac{2}{y} = \frac{y}{5}

\frac{9}{x} = - 6

What is the answer to (0.2+x)/((2-2x)^2)=0.078 ?
The answer to (0.2+x)/((2-2x)^2)=0.078 is x=(203+5sqrt(1561))/(78),x=(203-5sqrt(1561))/(78)
Solve for x: (0.2+x)/((2-2x)^2)=0.078
The solution is x=(203+5sqrt(1561))/(78),x=(203-5sqrt(1561))/(78)