0a^2-a^2=a^24

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Solution for 0a^2-a^2=a^24 equation:


Simplifying
0a2 + -1a2 = a24

Anything times zero is zero.
0a2 + -1a2 = a24
Remove the zero:
-1a2 = a24

Solving
-1a2 = a24

Solving for variable 'a'.

Combine like terms: a24 + -1a24 = 0
-1a2 + -1a24 = 0

Factor out the Greatest Common Factor (GCF), '-1a2'.
-1a2(1 + a22) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(1 + a22)' equal to zero and attempt to solve:

Simplifying
1 + a22 = 0

Solving
1 + a22 = 0

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

Add '-1' to each side of the equation.
1 + -1 + a22 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a22 = 0 + -1
a22 = 0 + -1

Combine like terms: 0 + -1 = -1
a22 = -1

Simplifying
a22 = -1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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