ax(x+1)=5x

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Solution for ax(x+1)=5x equation: 


Simplifying
ax(x + 1) = 5x

Reorder the terms:
ax(1 + x) = 5x
(1 * ax + x * ax) = 5x
(1ax + ax2) = 5x

Solving
1ax + ax2 = 5x

Solving for variable 'a'.

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

Combine like terms: 5x + -5x = 0
1ax + ax2 + -5x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(a + ax + -5) = 0


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

Simplifying
x = 0

Solving
x = 0

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

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

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(a + ax + -5)' equal to zero and attempt to solve:

Simplifying
a + ax + -5 = 0

Reorder the terms:
-5 + a + ax = 0

Solving
-5 + a + ax = 0

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

Add '5' to each side of the equation.
-5 + a + 5 + ax = 0 + 5

Reorder the terms:
-5 + 5 + a + ax = 0 + 5

Combine like terms: -5 + 5 = 0
0 + a + ax = 0 + 5
a + ax = 0 + 5

Combine like terms: 0 + 5 = 5
a + ax = 5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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