3X=15*X*X

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Solution for 3X=15*X*X equation:


Simplifying
3X = 15X * X

Multiply X * X
3X = 15X2

Solving
3X = 15X2

Solving for variable 'X'.

Combine like terms: 15X2 + -15X2 = 0
3X + -15X2 = 0

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

Ignore the factor 3.

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 + -5X)' equal to zero and attempt to solve: Simplifying 1 + -5X = 0 Solving 1 + -5X = 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 + -5X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5X = 0 + -1 -5X = 0 + -1 Combine like terms: 0 + -1 = -1 -5X = -1 Divide each side by '-5'. X = 0.2 Simplifying X = 0.2

Solution

X = {0, 0.2}

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