4(9h-4a)7(5a+2h)=

Solution for 4(9h-4a)7(5a+2h)= equation:

Simplifying
4(9h + -4a) * 7(5a + 2h) = 0

Reorder the terms:
4(-4a + 9h) * 7(5a + 2h) = 0

Reorder the terms for easier multiplication:
4 * 7(-4a + 9h)(5a + 2h) = 0

Multiply 4 * 7
28(-4a + 9h)(5a + 2h) = 0

Multiply (-4a + 9h) * (5a + 2h)
28(-4a * (5a + 2h) + 9h * (5a + 2h)) = 0
28((5a * -4a + 2h * -4a) + 9h * (5a + 2h)) = 0

Reorder the terms:
28((-8ah + -20a2) + 9h * (5a + 2h)) = 0
28((-8ah + -20a2) + 9h * (5a + 2h)) = 0
28(-8ah + -20a2 + (5a * 9h + 2h * 9h)) = 0
28(-8ah + -20a2 + (45ah + 18h2)) = 0

Reorder the terms:
28(-8ah + 45ah + -20a2 + 18h2) = 0

Combine like terms: -8ah + 45ah = 37ah
28(37ah + -20a2 + 18h2) = 0
(37ah * 28 + -20a2 * 28 + 18h2 * 28) = 0
(1036ah + -560a2 + 504h2) = 0

Solving
1036ah + -560a2 + 504h2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '28'.
28(37ah + -20a2 + 18h2) = 0

Factor a trinomial.
28((-5a + -2h)(4a + -9h)) = 0

Ignore the factor 28.
Subproblem 1
Set the factor '(-5a + -2h)' equal to zero and attempt to solve:

Simplifying
-5a + -2h = 0

Solving
-5a + -2h = 0

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

Add '2h' to each side of the equation.
-5a + -2h + 2h = 0 + 2h

Combine like terms: -2h + 2h = 0
-5a + 0 = 0 + 2h
-5a = 0 + 2h
Remove the zero:
-5a = 2h

Divide each side by '-5'.
a = -0.4h

Simplifying
a = -0.4h
Subproblem 2
Set the factor '(4a + -9h)' equal to zero and attempt to solve:

Simplifying
4a + -9h = 0

Solving
4a + -9h = 0

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

Add '9h' to each side of the equation.
4a + -9h + 9h = 0 + 9h

Combine like terms: -9h + 9h = 0
4a + 0 = 0 + 9h
4a = 0 + 9h
Remove the zero:
4a = 9h

Divide each side by '4'.
a = 2.25h

Simplifying
a = 2.25h
Solution
a = {-0.4h, 2.25h}