5a(a-7)=0

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Solution for 5a(a-7)=0 equation: 


Simplifying
5a(a + -7) = 0

Reorder the terms:
5a(-7 + a) = 0
(-7 * 5a + a * 5a) = 0
(-35a + 5a2) = 0

Solving
-35a + 5a2 = 0

Solving for variable 'a'.

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