4[5a-2a(2a+5b)+4a]=

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Solution for 4[5a-2a(2a+5b)+4a]= equation: 


Simplifying
4[5a + -2a(2a + 5b) + 4a] = 0
4[5a + (2a * -2a + 5b * -2a) + 4a] = 0

Reorder the terms:
4[5a + (-10ab + -4a2) + 4a] = 0
4[5a + (-10ab + -4a2) + 4a] = 0

Reorder the terms:
4[5a + 4a + -10ab + -4a2] = 0

Combine like terms: 5a + 4a = 9a
4[9a + -10ab + -4a2] = 0
[9a * 4 + -10ab * 4 + -4a2 * 4] = 0
[36a + -40ab + -16a2] = 0

Solving
36a + -40ab + -16a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(9 + -10b + -4a) = 0

Ignore the factor 4.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(9 + -10b + -4a)' equal to zero and attempt to solve:

Simplifying
9 + -10b + -4a = 0

Reorder the terms:
9 + -4a + -10b = 0

Solving
9 + -4a + -10b = 0

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

Add '-9' to each side of the equation.
9 + -4a + -9 + -10b = 0 + -9

Reorder the terms:
9 + -9 + -4a + -10b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4a + -10b = 0 + -9
-4a + -10b = 0 + -9

Combine like terms: 0 + -9 = -9
-4a + -10b = -9

Add '10b' to each side of the equation.
-4a + -10b + 10b = -9 + 10b

Combine like terms: -10b + 10b = 0
-4a + 0 = -9 + 10b
-4a = -9 + 10b

Divide each side by '-4'.
a = 2.25 + -2.5b

Simplifying
a = 2.25 + -2.5b
Solution
a = {0, 2.25 + -2.5b}

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