7a^2=49a

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Solution for 7a^2=49a equation:


Simplifying
7a2 = 49a

Solving
7a2 = 49a

Solving for variable 'a'.

Reorder the terms:
-49a + 7a2 = 49a + -49a

Combine like terms: 49a + -49a = 0
-49a + 7a2 = 0

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

Ignore the factor 7.

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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