(4x^2+5)(3x^2+7)=

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Solution for (4x^2+5)(3x^2+7)= equation: 


Simplifying
(4x2 + 5)(3x2 + 7) = 0

Reorder the terms:
(5 + 4x2)(3x2 + 7) = 0

Reorder the terms:
(5 + 4x2)(7 + 3x2) = 0

Multiply (5 + 4x2) * (7 + 3x2)
(5(7 + 3x2) + 4x2 * (7 + 3x2)) = 0
((7 * 5 + 3x2 * 5) + 4x2 * (7 + 3x2)) = 0
((35 + 15x2) + 4x2 * (7 + 3x2)) = 0
(35 + 15x2 + (7 * 4x2 + 3x2 * 4x2)) = 0
(35 + 15x2 + (28x2 + 12x4)) = 0

Combine like terms: 15x2 + 28x2 = 43x2
(35 + 43x2 + 12x4) = 0

Solving
35 + 43x2 + 12x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 3x2)(5 + 4x2) = 0


Subproblem 1
Set the factor '(7 + 3x2)' equal to zero and attempt to solve:

Simplifying
7 + 3x2 = 0

Solving
7 + 3x2 = 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 + 3x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x2 = 0 + -7
3x2 = 0 + -7

Combine like terms: 0 + -7 = -7
3x2 = -7

Divide each side by '3'.
x2 = -2.333333333

Simplifying
x2 = -2.333333333

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 '(5 + 4x2)' equal to zero and attempt to solve:

Simplifying
5 + 4x2 = 0

Solving
5 + 4x2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x2 = 0 + -5
4x2 = 0 + -5

Combine like terms: 0 + -5 = -5
4x2 = -5

Divide each side by '4'.
x2 = -1.25

Simplifying
x2 = -1.25

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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