4a^225=10a+3a^2

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Solution for 4a^225=10a+3a^2 equation:


Simplifying
4a225 = 10a + 3a2

Solving
4a225 = 10a + 3a2

Solving for variable 'a'.

Reorder the terms:
-10a + -3a2 + 4a225 = 10a + 3a2 + -10a + -3a2

Reorder the terms:
-10a + -3a2 + 4a225 = 10a + -10a + 3a2 + -3a2

Combine like terms: 10a + -10a = 0
-10a + -3a2 + 4a225 = 0 + 3a2 + -3a2
-10a + -3a2 + 4a225 = 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
-10a + -3a2 + 4a225 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-10 + -3a + 4a224) = 0


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 '(-10 + -3a + 4a224)' equal to zero and attempt to solve:

Simplifying
-10 + -3a + 4a224 = 0

Solving
-10 + -3a + 4a224 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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