25a=10a^2

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Solution for 25a=10a^2 equation:


Simplifying
25a = 10a2

Solving
25a = 10a2

Solving for variable 'a'.

Combine like terms: 10a2 + -10a2 = 0
25a + -10a2 = 0

Factor out the Greatest Common Factor (GCF), '5a'.
5a(5 + -2a) = 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 '(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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