5x+10x+25x=40x^3

Solution for 5x+10x+25x=40x^3 equation:

Simplifying
5x + 10x + 25x = 40x3

Combine like terms: 5x + 10x = 15x
15x + 25x = 40x3

Combine like terms: 15x + 25x = 40x
40x = 40x3

Solving
40x = 40x3

Solving for variable 'x'.

Combine like terms: 40x3 + -40x3 = 0
40x + -40x3 = 0

Factor out the Greatest Common Factor (GCF), '40x'.
40x(1 + -1x2) = 0

Factor a difference between two squares.
40x((1 + x)(1 + -1x)) = 0

Ignore the factor 40.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}