(9x^2+8)(3-7x^2)=

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Solution for (9x^2+8)(3-7x^2)= equation: 


Simplifying
(9x2 + 8)(3 + -7x2) = 0

Reorder the terms:
(8 + 9x2)(3 + -7x2) = 0

Multiply (8 + 9x2) * (3 + -7x2)
(8(3 + -7x2) + 9x2 * (3 + -7x2)) = 0
((3 * 8 + -7x2 * 8) + 9x2 * (3 + -7x2)) = 0
((24 + -56x2) + 9x2 * (3 + -7x2)) = 0
(24 + -56x2 + (3 * 9x2 + -7x2 * 9x2)) = 0
(24 + -56x2 + (27x2 + -63x4)) = 0

Combine like terms: -56x2 + 27x2 = -29x2
(24 + -29x2 + -63x4) = 0

Solving
24 + -29x2 + -63x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -7x2)(8 + 9x2) = 0


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

Simplifying
3 + -7x2 = 0

Solving
3 + -7x2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x2 = 0 + -3

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

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

Divide each side by '-7'.
x2 = 0.4285714286

Simplifying
x2 = 0.4285714286

Take the square root of each side:
x = {-0.654653671, 0.654653671}

Subproblem 2
Set the factor '(8 + 9x2)' equal to zero and attempt to solve:

Simplifying
8 + 9x2 = 0

Solving
8 + 9x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9x2 = 0 + -8
9x2 = 0 + -8

Combine like terms: 0 + -8 = -8
9x2 = -8

Divide each side by '9'.
x2 = -0.8888888889

Simplifying
x2 = -0.8888888889

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {-0.654653671, 0.654653671}

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