(2x^2+x)(2x^2+1)=0

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Solution for (2x^2+x)(2x^2+1)=0 equation:


Simplifying
(2x2 + x)(2x2 + 1) = 0

Reorder the terms:
(x + 2x2)(2x2 + 1) = 0

Reorder the terms:
(x + 2x2)(1 + 2x2) = 0

Multiply (x + 2x2) * (1 + 2x2)
(x(1 + 2x2) + 2x2 * (1 + 2x2)) = 0
((1 * x + 2x2 * x) + 2x2 * (1 + 2x2)) = 0
((1x + 2x3) + 2x2 * (1 + 2x2)) = 0
(1x + 2x3 + (1 * 2x2 + 2x2 * 2x2)) = 0
(1x + 2x3 + (2x2 + 4x4)) = 0

Reorder the terms:
(1x + 2x2 + 2x3 + 4x4) = 0
(1x + 2x2 + 2x3 + 4x4) = 0

Solving
1x + 2x2 + 2x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 2x + 2x2 + 4x3) = 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 '(1 + 2x + 2x2 + 4x3)' equal to zero and attempt to solve: Simplifying 1 + 2x + 2x2 + 4x3 = 0 Solving 1 + 2x + 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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