5x^2=19x

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Solution for 5x^2=19x equation:


Simplifying
5x2 = 19x

Solving
5x2 = 19x

Solving for variable 'x'.

Reorder the terms:
-19x + 5x2 = 19x + -19x

Combine like terms: 19x + -19x = 0
-19x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + 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 '(-19 + 5x)' equal to zero and attempt to solve: Simplifying -19 + 5x = 0 Solving -19 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 5x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 5x = 0 + 19 5x = 0 + 19 Combine like terms: 0 + 19 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8

Solution

x = {0, 3.8}

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