3x^2(4x^3-2x^2+5x+2)=

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Solution for 3x^2(4x^3-2x^2+5x+2)= equation:


Simplifying
3x2(4x3 + -2x2 + 5x + 2) = 0

Reorder the terms:
3x2(2 + 5x + -2x2 + 4x3) = 0
(2 * 3x2 + 5x * 3x2 + -2x2 * 3x2 + 4x3 * 3x2) = 0
(6x2 + 15x3 + -6x4 + 12x5) = 0

Solving
6x2 + 15x3 + -6x4 + 12x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(2 + 5x + -2x2 + 4x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(2 + 5x + -2x2 + 4x3)' equal to zero and attempt to solve: Simplifying 2 + 5x + -2x2 + 4x3 = 0 Solving 2 + 5x + -2x2 + 4x3 = 0 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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