24x=5x^2

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Solution for 24x=5x^2 equation:


Simplifying
24x = 5x2

Solving
24x = 5x2

Solving for variable 'x'.

Combine like terms: 5x2 + -5x2 = 0
24x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(24 + -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 '(24 + -5x)' equal to zero and attempt to solve: Simplifying 24 + -5x = 0 Solving 24 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 0 + -24 -5x = 0 + -24 Combine like terms: 0 + -24 = -24 -5x = -24 Divide each side by '-5'. x = 4.8 Simplifying x = 4.8

Solution

x = {0, 4.8}

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