10x^2=6x

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Solution for 10x^2=6x equation:


Simplifying
10x2 = 6x

Solving
10x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + 10x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 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 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0, 0.6}

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