(x^2+7)*(3x^2-5)=0

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Solution for (x^2+7)*(3x^2-5)=0 equation: 


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

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

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

Multiply (7 + x2) * (-5 + 3x2)
(7(-5 + 3x2) + x2(-5 + 3x2)) = 0
((-5 * 7 + 3x2 * 7) + x2(-5 + 3x2)) = 0
((-35 + 21x2) + x2(-5 + 3x2)) = 0
(-35 + 21x2 + (-5 * x2 + 3x2 * x2)) = 0
(-35 + 21x2 + (-5x2 + 3x4)) = 0

Combine like terms: 21x2 + -5x2 = 16x2
(-35 + 16x2 + 3x4) = 0

Solving
-35 + 16x2 + 3x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x2)(5 + -3x2) = 0


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

Simplifying
-7 + -1x2 = 0

Solving
-7 + -1x2 = 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 + -1x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x2 = 0 + 7
-1x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-1x2 = 7

Divide each side by '-1'.
x2 = -7

Simplifying
x2 = -7

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 + -3x2)' equal to zero and attempt to solve:

Simplifying
5 + -3x2 = 0

Solving
5 + -3x2 = 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 + -3x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x2 = 0 + -5
-3x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-3x2 = -5

Divide each side by '-3'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}
Solution
x = {-1.290994449, 1.290994449}

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