X^2+4x-25=15-2x

Solution for X^2+4x-25=15-2x equation:

X^2+4X-25=15-2X

We move all terms to the left:

X^2+4X-25-(15-2X)=0

We add all the numbers together, and all the variables

X^2+4X-(-2X+15)-25=0

We get rid of parentheses

X^2+4X+2X-15-25=0

We add all the numbers together, and all the variables

X^2+6X-40=0

a = 1; b = 6; c = -40;
Δ = b2-4ac
Δ = 62-4·1·(-40)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-14}{2*1}=\frac{-20}{2}
=-10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+14}{2*1}=\frac{8}{2}
=4
$