3x=5x^2

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Solution for 3x=5x^2 equation:


Simplifying
3x = 5x2

Solving
3x = 5x2

Solving for variable 'x'.

Combine like terms: 5x2 + -5x2 = 0
3x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -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 '(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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