7/8x+1=2-1/4x

Solution for 7/8x+1=2-1/4x equation:

7/8x+1=2-1/4x

We move all terms to the left:

7/8x+1-(2-1/4x)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

7/8x-(-1/4x+2)+1=0

We get rid of parentheses

7/8x+1/4x-2+1=0

We calculate fractions


28x/32x^2+8x/32x^2-2+1=0

We add all the numbers together, and all the variables

28x/32x^2+8x/32x^2-1=0

We multiply all the terms by the denominator


28x+8x-1*32x^2=0

We add all the numbers together, and all the variables

36x-1*32x^2=0

Wy multiply elements

-32x^2+36x=0

a = -32; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·(-32)·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*-32}=\frac{-72}{-64}
=1+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*-32}=\frac{0}{-64}
=0
$