5x^2=4x-20x^2

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Solution for 5x^2=4x-20x^2 equation:


Simplifying
5x2 = 4x + -20x2

Solving
5x2 = 4x + -20x2

Solving for variable 'x'.

Reorder the terms:
-4x + 5x2 + 20x2 = 4x + -20x2 + -4x + 20x2

Combine like terms: 5x2 + 20x2 = 25x2
-4x + 25x2 = 4x + -20x2 + -4x + 20x2

Reorder the terms:
-4x + 25x2 = 4x + -4x + -20x2 + 20x2

Combine like terms: 4x + -4x = 0
-4x + 25x2 = 0 + -20x2 + 20x2
-4x + 25x2 = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-4x + 25x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 25x) = 0

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 + 25x)' equal to zero and attempt to solve: Simplifying -4 + 25x = 0 Solving -4 + 25x = 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 + 25x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 25x = 0 + 4 25x = 0 + 4 Combine like terms: 0 + 4 = 4 25x = 4 Divide each side by '25'. x = 0.16 Simplifying x = 0.16

Solution

x = {0, 0.16}

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