5x(2-3x)=-87+3x

Solution for 5x(2-3x)=-87+3x equation:

5x(2-3x)=-87+3x

We move all terms to the left:

5x(2-3x)-(-87+3x)=0

We add all the numbers together, and all the variables

5x(-3x+2)-(3x-87)=0

We multiply parentheses

-15x^2+10x-(3x-87)=0

We get rid of parentheses

-15x^2+10x-3x+87=0

We add all the numbers together, and all the variables

-15x^2+7x+87=0

a = -15; b = 7; c = +87;
Δ = b2-4ac
Δ = 72-4·(-15)·87
Δ = 5269
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{-(7)-\sqrt{5269}}{2*-15}=\frac{-7-\sqrt{5269}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{5269}}{2*-15}=\frac{-7+\sqrt{5269}}{-30}
$