(4x^2-5)(3x^2+7)=0

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Solution for (4x^2-5)(3x^2+7)=0 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 = 13x2
(-35 + 13x2 + 12x4) = 0

Solving
-35 + 13x2 + 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

Take the square root of each side:
x = {-1.118033989, 1.118033989}
Solution
x = {-1.118033989, 1.118033989}

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