14x^2-4x=2x

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Solution for 14x^2-4x=2x equation:


Simplifying
14x2 + -4x = 2x

Reorder the terms:
-4x + 14x2 = 2x

Solving
-4x + 14x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-4x + -2x + 14x2 = 2x + -2x

Combine like terms: -4x + -2x = -6x
-6x + 14x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-6x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 7x) = 0

Ignore the factor 2.

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 '(-3 + 7x)' equal to zero and attempt to solve: Simplifying -3 + 7x = 0 Solving -3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 0 + 3 7x = 0 + 3 Combine like terms: 0 + 3 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286

Solution

x = {0, 0.4285714286}

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