5x=15x^2

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Solution for 5x=15x^2 equation:


Simplifying
5x = 15x2

Solving
5x = 15x2

Solving for variable 'x'.

Combine like terms: 15x2 + -15x2 = 0
5x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(1 + -3x) = 0

Ignore the factor 5.

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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {0, 0.3333333333}

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