(5-X^2-2X^4)-(-6X^2+5X+5)=0

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Solution for (5-X^2-2X^4)-(-6X^2+5X+5)=0 equation:


Simplifying
(5 + -1X2 + -2X4) + -1(-6X2 + 5X + 5) = 0

Remove parenthesis around (5 + -1X2 + -2X4)
5 + -1X2 + -2X4 + -1(-6X2 + 5X + 5) = 0

Reorder the terms:
5 + -1X2 + -2X4 + -1(5 + 5X + -6X2) = 0
5 + -1X2 + -2X4 + (5 * -1 + 5X * -1 + -6X2 * -1) = 0
5 + -1X2 + -2X4 + (-5 + -5X + 6X2) = 0

Reorder the terms:
5 + -5 + -5X + -1X2 + 6X2 + -2X4 = 0

Combine like terms: 5 + -5 = 0
0 + -5X + -1X2 + 6X2 + -2X4 = 0
-5X + -1X2 + 6X2 + -2X4 = 0

Combine like terms: -1X2 + 6X2 = 5X2
-5X + 5X2 + -2X4 = 0

Solving
-5X + 5X2 + -2X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-5 + 5X + -2X3) = 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 '(-5 + 5X + -2X3)' equal to zero and attempt to solve: Simplifying -5 + 5X + -2X3 = 0 Solving -5 + 5X + -2X3 = 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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