15x+14=5(45x+4)15x+14=5(45x+4)

Solution for 15x+14=5(45x+4)15x+14=5(45x+4) equation:

15x+14=5(45x+4)15x+14=5(45x+4)

We move all terms to the left:

15x+14-(5(45x+4)15x+14)=0


We calculate terms in parentheses: -(5(45x+4)15x+14), so:

5(45x+4)15x+14

We multiply parentheses

3375x^2+300x+14

Back to the equation:

-(3375x^2+300x+14)


We get rid of parentheses

-3375x^2+15x-300x-14+14=0

We add all the numbers together, and all the variables

-3375x^2-285x=0

a = -3375; b = -285; c = 0;
Δ = b2-4ac
Δ = -2852-4·(-3375)·0
Δ = 81225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81225}=285$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-285)-285}{2*-3375}=\frac{0}{-6750}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-285)+285}{2*-3375}=\frac{570}{-6750}
=-19/225
$