a(3a)=4a

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Solution for a(3a)=4a equation:


Simplifying
a(3a) = 4a

Remove parenthesis around (3a)
a * 3a = 4a

Reorder the terms for easier multiplication:
3a * a = 4a

Multiply a * a
3a2 = 4a

Solving
3a2 = 4a

Solving for variable 'a'.

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

Combine like terms: 4a + -4a = 0
-4a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + 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 '(-4 + 3a)' equal to zero and attempt to solve: Simplifying -4 + 3a = 0 Solving -4 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a = 0 + 4 3a = 0 + 4 Combine like terms: 0 + 4 = 4 3a = 4 Divide each side by '3'. a = 1.333333333 Simplifying a = 1.333333333

Solution

a = {0, 1.333333333}

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