(24x^5-6x^3+4x^2)+(3x^2)=

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Solution for (24x^5-6x^3+4x^2)+(3x^2)= equation:


Simplifying
(24x5 + -6x3 + 4x2) + (3x2) = 0

Reorder the terms:
(4x2 + -6x3 + 24x5) + (3x2) = 0

Remove parenthesis around (4x2 + -6x3 + 24x5)
4x2 + -6x3 + 24x5 + (3x2) = 0

Reorder the terms:
4x2 + (3x2) + -6x3 + 24x5 = 0

Combine like terms: 4x2 + (3x2) = 7x2
7x2 + -6x3 + 24x5 = 0

Solving
7x2 + -6x3 + 24x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(7 + -6x + 24x3) = 0

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 '(7 + -6x + 24x3)' equal to zero and attempt to solve: Simplifying 7 + -6x + 24x3 = 0 Solving 7 + -6x + 24x3 = 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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