x(x+2/7)=3/49

Solution for x(x+2/7)=3/49 equation:

x(x+2/7)=3/49

We move all terms to the left:

x(x+2/7)-(3/49)=0

We add all the numbers together, and all the variables

x(+x+2/7)-(+3/49)=0

We multiply parentheses

x^2+2x^2-(+3/49)=0

We get rid of parentheses

x^2+2x^2-3/49=0

We multiply all the terms by the denominator


x^2*49+2x^2*49-3=0

Wy multiply elements

49x^2+98x^2-3=0

We add all the numbers together, and all the variables

147x^2-3=0

a = 147; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·147·(-3)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-42}{2*147}=\frac{-42}{294}
=-1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+42}{2*147}=\frac{42}{294}
=1/7
$