25x^2+x-4=x+5

Solution for 25x^2+x-4=x+5 equation:

Simplifying
25x2 + x + -4 = x + 5

Reorder the terms:
-4 + x + 25x2 = x + 5

Reorder the terms:
-4 + x + 25x2 = 5 + x

Add '-1x' to each side of the equation.
-4 + x + -1x + 25x2 = 5 + x + -1x

Combine like terms: x + -1x = 0
-4 + 0 + 25x2 = 5 + x + -1x
-4 + 25x2 = 5 + x + -1x

Combine like terms: x + -1x = 0
-4 + 25x2 = 5 + 0
-4 + 25x2 = 5

Solving
-4 + 25x2 = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 25x2 = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 25x2 = 5 + 4
25x2 = 5 + 4

Combine like terms: 5 + 4 = 9
25x2 = 9

Divide each side by '25'.
x2 = 0.36

Simplifying
x2 = 0.36

Take the square root of each side:
x = {-0.6, 0.6}