5x(6x-3)=0

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Solution for 5x(6x-3)=0 equation:


Simplifying
5x(6x + -3) = 0

Reorder the terms:
5x(-3 + 6x) = 0
(-3 * 5x + 6x * 5x) = 0
(-15x + 30x2) = 0

Solving
-15x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15x'.
15x(-1 + 2x) = 0

Ignore the factor 15.

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 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0, 0.5}

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