0=150x-8x^3

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Solution for 0=150x-8x^3 equation:


Simplifying
0 = 150x + -8x3

Solving
0 = 150x + -8x3

Solving for variable 'x'.
Remove the zero:
-150x + 8x3 = 150x + -8x3 + -150x + 8x3

Reorder the terms:
-150x + 8x3 = 150x + -150x + -8x3 + 8x3

Combine like terms: 150x + -150x = 0
-150x + 8x3 = 0 + -8x3 + 8x3
-150x + 8x3 = -8x3 + 8x3

Combine like terms: -8x3 + 8x3 = 0
-150x + 8x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-75 + 4x2) = 0

Ignore the factor 2.

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 '(-75 + 4x2)' equal to zero and attempt to solve: Simplifying -75 + 4x2 = 0 Solving -75 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 4x2 = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 4x2 = 0 + 75 4x2 = 0 + 75 Combine like terms: 0 + 75 = 75 4x2 = 75 Divide each side by '4'. x2 = 18.75 Simplifying x2 = 18.75 Take the square root of each side: x = {-4.330127019, 4.330127019}

Solution

x = {0, -4.330127019, 4.330127019}

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