15x=20x^2

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Solution for 15x=20x^2 equation:


Simplifying
15x = 20x2

Solving
15x = 20x2

Solving for variable 'x'.

Combine like terms: 20x2 + -20x2 = 0
15x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(3 + -4x) = 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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {0, 0.75}

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