5a(3a-7b)=

Solution for 5a(3a-7b)= equation:

Simplifying
5a(3a + -7b) = 0
(3a * 5a + -7b * 5a) = 0

Reorder the terms:
(-35ab + 15a2) = 0
(-35ab + 15a2) = 0

Solving
-35ab + 15a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-7b + 3a) = 0

Ignore the factor 5.
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 '(-7b + 3a)' equal to zero and attempt to solve:

Simplifying
-7b + 3a = 0

Reorder the terms:
3a + -7b = 0

Solving
3a + -7b = 0

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

Add '7b' to each side of the equation.
3a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
3a + 0 = 0 + 7b
3a = 0 + 7b
Remove the zero:
3a = 7b

Divide each side by '3'.
a = 2.333333333b

Simplifying
a = 2.333333333b
Solution
a = {0, 2.333333333b}