5x*5x-9x=-2x+12

Solution for 5x*5x-9x=-2x+12 equation:

5x*5x-9x=-2x+12

We move all terms to the left:

5x*5x-9x-(-2x+12)=0

We add all the numbers together, and all the variables

-9x+5x*5x-(-2x+12)=0

Wy multiply elements

25x^2-9x-(-2x+12)=0

We get rid of parentheses

25x^2-9x+2x-12=0

We add all the numbers together, and all the variables

25x^2-7x-12=0

a = 25; b = -7; c = -12;
Δ = b2-4ac
Δ = -72-4·25·(-12)
Δ = 1249
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{1249}}{2*25}=\frac{7-\sqrt{1249}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{1249}}{2*25}=\frac{7+\sqrt{1249}}{50}
$