x^3+x^2-1=x^3+24

Solution for x^3+x^2-1=x^3+24 equation:

Simplifying
x3 + x2 + -1 = x3 + 24

Reorder the terms:
-1 + x2 + x3 = x3 + 24

Reorder the terms:
-1 + x2 + x3 = 24 + x3

Add '-1x3' to each side of the equation.
-1 + x2 + x3 + -1x3 = 24 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1 + x2 + 0 = 24 + x3 + -1x3
-1 + x2 = 24 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1 + x2 = 24 + 0
-1 + x2 = 24

Solving
-1 + x2 = 24

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 24 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 24 + 1
x2 = 24 + 1

Combine like terms: 24 + 1 = 25
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}