5=25/2+7^2x

Solution for 5=25/2+7^2x equation:

5=25/2+7^2x

We move all terms to the left:

5-(25/2+7^2x)=0


Domain of the equation: 2+7^2x)!=0

We move all terms containing x to the left, all other terms to the right

7^2x)!=-2

x!=-2/1

x!=-2

x∈R


We get rid of parentheses

-7^2x+5-25/2=0

We multiply all the terms by the denominator


-7^2x*2-25+5*2=0

We add all the numbers together, and all the variables

-7^2x*2-15=0

Wy multiply elements

-14x^2-15=0

a = -14; b = 0; c = -15;
Δ = b2-4ac
Δ = 02-4·(-14)·(-15)
Δ = -840
Delta is less than zero, so there is no solution for the equation