3a^2=21a

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Solution for 3a^2=21a equation:


Simplifying
3a2 = 21a

Solving
3a2 = 21a

Solving for variable 'a'.

Reorder the terms:
-21a + 3a2 = 21a + -21a

Combine like terms: 21a + -21a = 0
-21a + 3a2 = 0

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

Ignore the factor 3.

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 '(-7 + a)' equal to zero and attempt to solve: Simplifying -7 + a = 0 Solving -7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + a = 0 + 7 a = 0 + 7 Combine like terms: 0 + 7 = 7 a = 7 Simplifying a = 7

Solution

a = {0, 7}

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