-4x+2=4x^2-25x+7

Solution for -4x+2=4x^2-25x+7 equation:

-4x+2=4x^2-25x+7

We move all terms to the left:

-4x+2-(4x^2-25x+7)=0

We get rid of parentheses

-4x^2-4x+25x-7+2=0

We add all the numbers together, and all the variables

-4x^2+21x-5=0

a = -4; b = 21; c = -5;
Δ = b2-4ac
Δ = 212-4·(-4)·(-5)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-19}{2*-4}=\frac{-40}{-8}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+19}{2*-4}=\frac{-2}{-8}
=1/4
$