87-98x=30x-16(x)^2

Solution for 87-98x=30x-16(x)^2 equation:

87-98x=30x-16(x)^2

We move all terms to the left:

87-98x-(30x-16(x)^2)=0

determiningTheFunctionDomain
-(30x-16x^2)-98x+87=0

We get rid of parentheses

16x^2-30x-98x+87=0

We add all the numbers together, and all the variables

16x^2-128x+87=0

a = 16; b = -128; c = +87;
Δ = b2-4ac
Δ = -1282-4·16·87
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-128)-104}{2*16}=\frac{24}{32}
=3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-128)+104}{2*16}=\frac{232}{32}
=7+1/4
$