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

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


Simplifying
(2x2 + -7)(8x2 + 3) = 0

Reorder the terms:
(-7 + 2x2)(8x2 + 3) = 0

Reorder the terms:
(-7 + 2x2)(3 + 8x2) = 0

Multiply (-7 + 2x2) * (3 + 8x2)
(-7(3 + 8x2) + 2x2 * (3 + 8x2)) = 0
((3 * -7 + 8x2 * -7) + 2x2 * (3 + 8x2)) = 0
((-21 + -56x2) + 2x2 * (3 + 8x2)) = 0
(-21 + -56x2 + (3 * 2x2 + 8x2 * 2x2)) = 0
(-21 + -56x2 + (6x2 + 16x4)) = 0

Combine like terms: -56x2 + 6x2 = -50x2
(-21 + -50x2 + 16x4) = 0

Solving
-21 + -50x2 + 16x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -8x2)(7 + -2x2) = 0


Subproblem 1
Set the factor '(-3 + -8x2)' equal to zero and attempt to solve:

Simplifying
-3 + -8x2 = 0

Solving
-3 + -8x2 = 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 + -8x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8x2 = 0 + 3
-8x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-8x2 = 3

Divide each side by '-8'.
x2 = -0.375

Simplifying
x2 = -0.375

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 '(7 + -2x2)' equal to zero and attempt to solve:

Simplifying
7 + -2x2 = 0

Solving
7 + -2x2 = 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 + -2x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 = 0 + -7
-2x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}
Solution
x = {-1.870828693, 1.870828693}

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