28x^2=35x

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Solution for 28x^2=35x equation:


Simplifying
28x2 = 35x

Solving
28x2 = 35x

Solving for variable 'x'.

Reorder the terms:
-35x + 28x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
-35x + 28x2 = 0

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

Ignore the factor 7.

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 + 4x)' equal to zero and attempt to solve: Simplifying -5 + 4x = 0 Solving -5 + 4x = 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 + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 0 + 5 4x = 0 + 5 Combine like terms: 0 + 5 = 5 4x = 5 Divide each side by '4'. x = 1.25 Simplifying x = 1.25

Solution

x = {0, 1.25}

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