x(3-42x^2)=212x

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Solution for x(3-42x^2)=212x equation:


Simplifying
x(3 + -42x2) = 212x
(3 * x + -42x2 * x) = 212x
(3x + -42x3) = 212x

Solving
3x + -42x3 = 212x

Solving for variable 'x'.

Reorder the terms:
3x + -212x + -42x3 = 212x + -212x

Combine like terms: 3x + -212x = -209x
-209x + -42x3 = 212x + -212x

Combine like terms: 212x + -212x = 0
-209x + -42x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(209 + 42x2) = 0

Ignore the factor -1.

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 '(209 + 42x2)' equal to zero and attempt to solve: Simplifying 209 + 42x2 = 0 Solving 209 + 42x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-209' to each side of the equation. 209 + -209 + 42x2 = 0 + -209 Combine like terms: 209 + -209 = 0 0 + 42x2 = 0 + -209 42x2 = 0 + -209 Combine like terms: 0 + -209 = -209 42x2 = -209 Divide each side by '42'. x2 = -4.976190476 Simplifying x2 = -4.976190476 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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