12x^3+20x-48x=0

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Solution for 12x^3+20x-48x=0 equation:


Simplifying
12x3 + 20x + -48x = 0

Reorder the terms:
20x + -48x + 12x3 = 0

Combine like terms: 20x + -48x = -28x
-28x + 12x3 = 0

Solving
-28x + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-7 + 3x2) = 0

Ignore the factor 4.

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 '(-7 + 3x2)' equal to zero and attempt to solve: Simplifying -7 + 3x2 = 0 Solving -7 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x2 = 0 + 7 3x2 = 0 + 7 Combine like terms: 0 + 7 = 7 3x2 = 7 Divide each side by '3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}

Solution

x = {0, -1.527525232, 1.527525232}

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