28x^2=20x

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Solution for 28x^2=20x equation:


Simplifying
28x2 = 20x

Solving
28x2 = 20x

Solving for variable 'x'.

Reorder the terms:
-20x + 28x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-20x + 28x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + 7x) = 0

Ignore the factor 4.

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 '(-5 + 7x)' equal to zero and attempt to solve: Simplifying -5 + 7x = 0 Solving -5 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 0 + 5 7x = 0 + 5 Combine like terms: 0 + 5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143

Solution

x = {0, 0.7142857143}

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