0=2x-5x^2

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Solution for 0=2x-5x^2 equation:


Simplifying
0 = 2x + -5x2

Solving
0 = 2x + -5x2

Solving for variable 'x'.
Remove the zero:
-2x + 5x2 = 2x + -5x2 + -2x + 5x2

Reorder the terms:
-2x + 5x2 = 2x + -2x + -5x2 + 5x2

Combine like terms: 2x + -2x = 0
-2x + 5x2 = 0 + -5x2 + 5x2
-2x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-2x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 5x) = 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 '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4

Solution

x = {0, 0.4}

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