8x^3-15Lx+6L^2x=0

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Solution for 8x^3-15Lx+6L^2x=0 equation:


Simplifying
8x3 + -15Lx + 6L2x = 0

Reorder the terms:
-15xL + 6xL2 + 8x3 = 0

Solving
-15xL + 6xL2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15L + 6L2 + 8x2) = 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 '(-15L + 6L2 + 8x2)' equal to zero and attempt to solve: Simplifying -15L + 6L2 + 8x2 = 0 Solving -15L + 6L2 + 8x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '15L' to each side of the equation. -15L + 6L2 + 15L + 8x2 = 0 + 15L Reorder the terms: -15L + 15L + 6L2 + 8x2 = 0 + 15L Combine like terms: -15L + 15L = 0 0 + 6L2 + 8x2 = 0 + 15L 6L2 + 8x2 = 0 + 15L Remove the zero: 6L2 + 8x2 = 15L Add '-6L2' to each side of the equation. 6L2 + -6L2 + 8x2 = 15L + -6L2 Combine like terms: 6L2 + -6L2 = 0 0 + 8x2 = 15L + -6L2 8x2 = 15L + -6L2 Divide each side by '8'. x2 = 1.875L + -0.75L2 Simplifying x2 = 1.875L + -0.75L2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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