7a(2a-5)=

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Solution for 7a(2a-5)= equation: 


Simplifying
7a(2a + -5) = 0

Reorder the terms:
7a(-5 + 2a) = 0
(-5 * 7a + 2a * 7a) = 0
(-35a + 14a2) = 0

Solving
-35a + 14a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a'.
7a(-5 + 2a) = 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 '(-5 + 2a)' equal to zero and attempt to solve:

Simplifying
-5 + 2a = 0

Solving
-5 + 2a = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2a = 0 + 5
2a = 0 + 5

Combine like terms: 0 + 5 = 5
2a = 5

Divide each side by '2'.
a = 2.5

Simplifying
a = 2.5
Solution
a = {0, 2.5}

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