135=(1/2)(x)(x-3)

Solution for 135=(1/2)(x)(x-3) equation:

135=(1/2)(x)(x-3)

We move all terms to the left:

135-((1/2)(x)(x-3))=0


Domain of the equation: 2)x(x-3))!=0

x∈R


We add all the numbers together, and all the variables

-((+1/2)x(x-3))+135=0

We multiply all the terms by the denominator


-((+1+135*2)x(x-3))=0


We calculate terms in parentheses: -((+1+135*2)x(x-3)), so:

(+1+135*2)x(x-3)

We add all the numbers together, and all the variables

271x(x-3)

We multiply parentheses

271x^2-813x

Back to the equation:

-(271x^2-813x)


We get rid of parentheses

-271x^2+813x=0

a = -271; b = 813; c = 0;
Δ = b2-4ac
Δ = 8132-4·(-271)·0
Δ = 660969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{660969}=813$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(813)-813}{2*-271}=\frac{-1626}{-542}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(813)+813}{2*-271}=\frac{0}{-542}
=0
$