0=4(4x^4+10x^3+6x^2-9)

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Solution for 0=4(4x^4+10x^3+6x^2-9) equation: 


Simplifying
0 = 4(4x4 + 10x3 + 6x2 + -9)

Reorder the terms:
0 = 4(-9 + 6x2 + 10x3 + 4x4)
0 = (-9 * 4 + 6x2 * 4 + 10x3 * 4 + 4x4 * 4)
0 = (-36 + 24x2 + 40x3 + 16x4)

Solving
0 = -36 + 24x2 + 40x3 + 16x4

Solving for variable 'x'.

Combine like terms: 0 + 36 = 36
36 + -24x2 + -40x3 + -16x4 = -36 + 24x2 + 40x3 + 16x4 + 36 + -24x2 + -40x3 + -16x4

Reorder the terms:
36 + -24x2 + -40x3 + -16x4 = -36 + 36 + 24x2 + -24x2 + 40x3 + -40x3 + 16x4 + -16x4

Combine like terms: -36 + 36 = 0
36 + -24x2 + -40x3 + -16x4 = 0 + 24x2 + -24x2 + 40x3 + -40x3 + 16x4 + -16x4
36 + -24x2 + -40x3 + -16x4 = 24x2 + -24x2 + 40x3 + -40x3 + 16x4 + -16x4

Combine like terms: 24x2 + -24x2 = 0
36 + -24x2 + -40x3 + -16x4 = 0 + 40x3 + -40x3 + 16x4 + -16x4
36 + -24x2 + -40x3 + -16x4 = 40x3 + -40x3 + 16x4 + -16x4

Combine like terms: 40x3 + -40x3 = 0
36 + -24x2 + -40x3 + -16x4 = 0 + 16x4 + -16x4
36 + -24x2 + -40x3 + -16x4 = 16x4 + -16x4

Combine like terms: 16x4 + -16x4 = 0
36 + -24x2 + -40x3 + -16x4 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -6x2 + -10x3 + -4x4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(9 + -6x2 + -10x3 + -4x4)' equal to zero and attempt to solve:

Simplifying
9 + -6x2 + -10x3 + -4x4 = 0

Solving
9 + -6x2 + -10x3 + -4x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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