45x2/15=x

Solution for 45x2/15=x equation:

45x^2/15=x

We move all terms to the left:

45x^2/15-(x)=0

We add all the numbers together, and all the variables

45x^2/15-1x=0

We multiply all the terms by the denominator


45x^2-1x*15=0

Wy multiply elements

45x^2-15x=0

a = 45; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·45·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*45}=\frac{0}{90}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*45}=\frac{30}{90}
=1/3
$