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

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


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

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

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

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

Combine like terms: -12x2 + -35x2 = -47x2
(28 + -47x2 + 15x4) = 0

Solving
28 + -47x2 + 15x4 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(4 + -5x2)' equal to zero and attempt to solve:

Simplifying
4 + -5x2 = 0

Solving
4 + -5x2 = 0

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

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

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

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

Divide each side by '-5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}

Subproblem 2
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

Take the square root of each side:
x = {-1.527525232, 1.527525232}
Solution
x = {-0.894427191, 0.894427191, -1.527525232, 1.527525232}

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