5x^2=12x

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Solution for 5x^2=12x equation:


Simplifying
5x2 = 12x

Solving
5x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 5x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 5x) = 0

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 '(-12 + 5x)' equal to zero and attempt to solve: Simplifying -12 + 5x = 0 Solving -12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4

Solution

x = {0, 2.4}

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