(4x^2+1)(6x^2+7)=

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Solution for (4x^2+1)(6x^2+7)= equation: 


Simplifying
(4x2 + 1)(6x2 + 7) = 0

Reorder the terms:
(1 + 4x2)(6x2 + 7) = 0

Reorder the terms:
(1 + 4x2)(7 + 6x2) = 0

Multiply (1 + 4x2) * (7 + 6x2)
(1(7 + 6x2) + 4x2 * (7 + 6x2)) = 0
((7 * 1 + 6x2 * 1) + 4x2 * (7 + 6x2)) = 0
((7 + 6x2) + 4x2 * (7 + 6x2)) = 0
(7 + 6x2 + (7 * 4x2 + 6x2 * 4x2)) = 0
(7 + 6x2 + (28x2 + 24x4)) = 0

Combine like terms: 6x2 + 28x2 = 34x2
(7 + 34x2 + 24x4) = 0

Solving
7 + 34x2 + 24x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x2)(1 + 4x2) = 0


Subproblem 1
Set the factor '(7 + 6x2)' equal to zero and attempt to solve:

Simplifying
7 + 6x2 = 0

Solving
7 + 6x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 6x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x2 = 0 + -7
6x2 = 0 + -7

Combine like terms: 0 + -7 = -7
6x2 = -7

Divide each side by '6'.
x2 = -1.166666667

Simplifying
x2 = -1.166666667

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(1 + 4x2)' equal to zero and attempt to solve:

Simplifying
1 + 4x2 = 0

Solving
1 + 4x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x2 = 0 + -1
4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4x2 = -1

Divide each side by '4'.
x2 = -0.25

Simplifying
x2 = -0.25

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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