3x^3=49x

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Solution for 3x^3=49x equation:


Simplifying
3x3 = 49x

Solving
3x3 = 49x

Solving for variable 'x'.

Reorder the terms:
-49x + 3x3 = 49x + -49x

Combine like terms: 49x + -49x = 0
-49x + 3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-49 + 3x2) = 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 '(-49 + 3x2)' equal to zero and attempt to solve: Simplifying -49 + 3x2 = 0 Solving -49 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 3x2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 3x2 = 0 + 49 3x2 = 0 + 49 Combine like terms: 0 + 49 = 49 3x2 = 49 Divide each side by '3'. x2 = 16.33333333 Simplifying x2 = 16.33333333 Take the square root of each side: x = {-4.041451884, 4.041451884}

Solution

x = {0, -4.041451884, 4.041451884}

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