20a^2+5a-60a=0

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Solution for 20a^2+5a-60a=0 equation: 


Simplifying
20a2 + 5a + -60a = 0

Reorder the terms:
5a + -60a + 20a2 = 0

Combine like terms: 5a + -60a = -55a
-55a + 20a2 = 0

Solving
-55a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(-11 + 4a) = 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 '(-11 + 4a)' equal to zero and attempt to solve:

Simplifying
-11 + 4a = 0

Solving
-11 + 4a = 0

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

Add '11' to each side of the equation.
-11 + 11 + 4a = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 4a = 0 + 11
4a = 0 + 11

Combine like terms: 0 + 11 = 11
4a = 11

Divide each side by '4'.
a = 2.75

Simplifying
a = 2.75
Solution
a = {0, 2.75}

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