89x+6.3-4=(x+3)5x

Solution for 89x+6.3-4=(x+3)5x equation:

89x+6.3-4=(x+3)5x

We move all terms to the left:

89x+6.3-4-((x+3)5x)=0

We add all the numbers together, and all the variables

89x-((x+3)5x)+2.3=0


We calculate terms in parentheses: -((x+3)5x), so:

(x+3)5x

We multiply parentheses

5x^2+15x

Back to the equation:

-(5x^2+15x)


We get rid of parentheses

-5x^2+89x-15x+2.3=0

We add all the numbers together, and all the variables

-5x^2+74x+2.3=0

a = -5; b = 74; c = +2.3;
Δ = b2-4ac
Δ = 742-4·(-5)·2.3
Δ = 5522
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{-(74)-\sqrt{5522}}{2*-5}=\frac{-74-\sqrt{5522}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(74)+\sqrt{5522}}{2*-5}=\frac{-74+\sqrt{5522}}{-10}
$