(X+1.5)+X=(1.5+X)x

Solution for (X+1.5)+X=(1.5+X)x equation:

(X+1.5)+X=(1.5+X)X

We move all terms to the left:

(X+1.5)+X-((1.5+X)X)=0

We add all the numbers together, and all the variables

(X+1.5)+X-((X+1.5)X)=0

We add all the numbers together, and all the variables

X+(X+1.5)-((X+1.5)X)=0

We get rid of parentheses

X+X-((X+1.5)X)+1.5=0


We calculate terms in parentheses: -((X+1.5)X), so:

(X+1.5)X

We multiply parentheses

X^2+1.5X

Back to the equation:

-(X^2+1.5X)


We add all the numbers together, and all the variables

2X-(X^2+1.5X)+1.5=0

We get rid of parentheses

-X^2+2X-1.5X+1.5=0

We add all the numbers together, and all the variables

-1X^2+0.5X+1.5=0

a = -1; b = 0.5; c = +1.5;
Δ = b2-4ac
Δ = 0.52-4·(-1)·1.5
Δ = 6.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.5)-\sqrt{6.25}}{2*-1}=\frac{-0.5-\sqrt{6.25}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.5)+\sqrt{6.25}}{2*-1}=\frac{-0.5+\sqrt{6.25}}{-2}
$