4(a+h)(a+h)=0

Solution for 4(a+h)(a+h)=0 equation:

Simplifying
4(a + h)(a + h) = 0

Multiply (a + h) * (a + h)
4(a(a + h) + h(a + h)) = 0
4((a * a + h * a) + h(a + h)) = 0

Reorder the terms:
4((ah + a2) + h(a + h)) = 0
4((ah + a2) + h(a + h)) = 0
4(ah + a2 + (a * h + h * h)) = 0
4(ah + a2 + (ah + h2)) = 0

Reorder the terms:
4(ah + ah + a2 + h2) = 0

Combine like terms: ah + ah = 2ah
4(2ah + a2 + h2) = 0
(2ah * 4 + a2 * 4 + h2 * 4) = 0
(8ah + 4a2 + 4h2) = 0

Solving
8ah + 4a2 + 4h2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2ah + a2 + h2) = 0

Factor a trinomial.
4((a + h)(a + h)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(a + h)' equal to zero and attempt to solve:

Simplifying
a + h = 0

Solving
a + h = 0

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

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

Combine like terms: h + -1h = 0
a + 0 = 0 + -1h
a = 0 + -1h
Remove the zero:
a = -1h

Simplifying
a = -1h
Subproblem 2
Set the factor '(a + h)' equal to zero and attempt to solve:

Simplifying
a + h = 0

Solving
a + h = 0

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

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

Combine like terms: h + -1h = 0
a + 0 = 0 + -1h
a = 0 + -1h
Remove the zero:
a = -1h

Simplifying
a = -1h
Solution
a = {-1h, -1h}