(7x+2)x=(5x+4)x

Solution for (7x+2)x=(5x+4)x equation:

(7x+2)x=(5x+4)x

We move all terms to the left:

(7x+2)x-((5x+4)x)=0

We multiply parentheses

7x^2+2x-((5x+4)x)=0


We calculate terms in parentheses: -((5x+4)x), so:

(5x+4)x

We multiply parentheses

5x^2+4x

Back to the equation:

-(5x^2+4x)


We get rid of parentheses

7x^2-5x^2+2x-4x=0

We add all the numbers together, and all the variables

2x^2-2x=0

a = 2; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·2·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*2}=\frac{4}{4}
=1
$