25x^2=20x

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Solution for 25x^2=20x equation:


Simplifying
25x2 = 20x

Solving
25x2 = 20x

Solving for variable 'x'.

Reorder the terms:
-20x + 25x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-20x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-4 + 5x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-4 + 5x)' equal to zero and attempt to solve: Simplifying -4 + 5x = 0 Solving -4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = 0 + 4 5x = 0 + 4 Combine like terms: 0 + 4 = 4 5x = 4 Divide each side by '5'. x = 0.8 Simplifying x = 0.8

Solution

x = {0, 0.8}

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