50x^2=20x-2

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Solution for 50x^2=20x-2 equation:


Simplifying
50x2 = 20x + -2

Reorder the terms:
50x2 = -2 + 20x

Solving
50x2 = -2 + 20x

Solving for variable 'x'.

Reorder the terms:
2 + -20x + 50x2 = -2 + 20x + 2 + -20x

Reorder the terms:
2 + -20x + 50x2 = -2 + 2 + 20x + -20x

Combine like terms: -2 + 2 = 0
2 + -20x + 50x2 = 0 + 20x + -20x
2 + -20x + 50x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
2 + -20x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -10x + 25x2) = 0

Factor a trinomial.
2((1 + -5x)(1 + -5x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Subproblem 2

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0.2, 0.2}

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