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Polynomials Calculator

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1

Solved example of Polynomials

$\frac{2}{x-1}+1=\frac{4-2x}{x-1}$
2

Grouping terms

$\frac{2}{x-1}+1-\left(\frac{4-2x}{x-1}\right)=0$
3

Add fraction's numerators with common denominators: $\frac{2}{x-1}$ and $\frac{4-2x}{x-1}$

$1+\frac{2-\left(4-2x\right)}{x-1}=0$
4

Multiplying polynomials $-1$ and $4+-2x$

$1+\frac{2-4-1\left(-2\right)x}{x-1}=0$
5

Subtract the values $2$ and $-4$

$1+\frac{-1\left(-2\right)x-2}{x-1}=0$
6

Multiply $-1$ times $-2$

$1+\frac{2x-2}{x-1}=0$
7

Subtract $1$ from both sides of the equation

$\frac{2x-2}{x-1}=-1$
8

Multiply both sides of the equation by $x-1$

$2x-2=-\left(x-1\right)$
9

Solve the product $-\left(x-1\right)$

$2x-2=-x+1$
10

Grouping terms

$2x-2+x=1$
11

Adding $2x$ and $x$

$-2+3x=1$
12

Subtract $-2$ from both sides of the equation

$3x=3$
13

Multiply both sides of the equation by $\frac{1}{3}$

$x=1$