(5x^2-2x+4)(2x^2+3+1)=

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Solution for (5x^2-2x+4)(2x^2+3+1)= equation: 


Simplifying
(5x2 + -2x + 4)(2x2 + 3 + 1) = 0

Reorder the terms:
(4 + -2x + 5x2)(2x2 + 3 + 1) = 0

Reorder the terms:
(4 + -2x + 5x2)(3 + 1 + 2x2) = 0

Combine like terms: 3 + 1 = 4
(4 + -2x + 5x2)(4 + 2x2) = 0

Multiply (4 + -2x + 5x2) * (4 + 2x2)
(4(4 + 2x2) + -2x * (4 + 2x2) + 5x2 * (4 + 2x2)) = 0
((4 * 4 + 2x2 * 4) + -2x * (4 + 2x2) + 5x2 * (4 + 2x2)) = 0
((16 + 8x2) + -2x * (4 + 2x2) + 5x2 * (4 + 2x2)) = 0
(16 + 8x2 + (4 * -2x + 2x2 * -2x) + 5x2 * (4 + 2x2)) = 0
(16 + 8x2 + (-8x + -4x3) + 5x2 * (4 + 2x2)) = 0
(16 + 8x2 + -8x + -4x3 + (4 * 5x2 + 2x2 * 5x2)) = 0
(16 + 8x2 + -8x + -4x3 + (20x2 + 10x4)) = 0

Reorder the terms:
(16 + -8x + 8x2 + 20x2 + -4x3 + 10x4) = 0

Combine like terms: 8x2 + 20x2 = 28x2
(16 + -8x + 28x2 + -4x3 + 10x4) = 0

Solving
16 + -8x + 28x2 + -4x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -4x + 14x2 + -2x3 + 5x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -4x + 14x2 + -2x3 + 5x4)' equal to zero and attempt to solve:

Simplifying
8 + -4x + 14x2 + -2x3 + 5x4 = 0

Solving
8 + -4x + 14x2 + -2x3 + 5x4 = 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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