X/15=25m/55m

Solution for X/15=25m/55m equation:

X/15=25X/55X

We move all terms to the left:

X/15-(25X/55X)=0


Domain of the equation: 55X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X/15-(+25X/55X)=0

We get rid of parentheses

X/15-25X/55X=0

We calculate fractions


55X^2/825X+(-375X)/825X=0

We multiply all the terms by the denominator


55X^2+(-375X)=0

We get rid of parentheses

55X^2-375X=0

a = 55; b = -375; c = 0;
Δ = b2-4ac
Δ = -3752-4·55·0
Δ = 140625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{140625}=375$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-375)-375}{2*55}=\frac{0}{110}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-375)+375}{2*55}=\frac{750}{110}
=6+9/11
$