H(x)=x^2

Solution for H(x)=x^2 equation:

Simplifying
H(x) = x2

Multiply H * x
xH = x2

Solving
xH = x2

Solving for variable 'x'.

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

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

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 '(H + -1x)' equal to zero and attempt to solve:

Simplifying
H + -1x = 0

Solving
H + -1x = 0

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

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

Combine like terms: H + -1H = 0
0 + -1x = 0 + -1H
-1x = 0 + -1H
Remove the zero:
-1x = -1H

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

Simplifying
x = H
Solution
x = {0, H}