0=-0.026x(x-46)

Solution for 0=-0.026x(x-46) equation:

0=-0.026x(x-46)

We move all terms to the left:

0-(-0.026x(x-46))=0

We add all the numbers together, and all the variables

-(-0.026x(x-46))=0


We calculate terms in parentheses: -(-0.026x(x-46)), so:

-0.026x(x-46)

We multiply parentheses

-0x^2-0x

We add all the numbers together, and all the variables

-1x^2-1x

Back to the equation:

-(-1x^2-1x)


We get rid of parentheses

1x^2+1x=0

We add all the numbers together, and all the variables

x^2+x=0

a = 1; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*1}=\frac{0}{2}
=0
$