3a*a+4a=2a

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Solution for 3a*a+4a=2a equation: 


Simplifying
3a * a + 4a = 2a

Multiply a * a
3a2 + 4a = 2a

Reorder the terms:
4a + 3a2 = 2a

Solving
4a + 3a2 = 2a

Solving for variable 'a'.

Reorder the terms:
4a + -2a + 3a2 = 2a + -2a

Combine like terms: 4a + -2a = 2a
2a + 3a2 = 2a + -2a

Combine like terms: 2a + -2a = 0
2a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(2 + 3a) = 0


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 '(2 + 3a)' equal to zero and attempt to solve:

Simplifying
2 + 3a = 0

Solving
2 + 3a = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 0 + -2
3a = 0 + -2

Combine like terms: 0 + -2 = -2
3a = -2

Divide each side by '3'.
a = -0.6666666667

Simplifying
a = -0.6666666667
Solution
a = {0, -0.6666666667}

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