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

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


Simplifying
(7x2 + -2)(3x2 + -5) = 0

Reorder the terms:
(-2 + 7x2)(3x2 + -5) = 0

Reorder the terms:
(-2 + 7x2)(-5 + 3x2) = 0

Multiply (-2 + 7x2) * (-5 + 3x2)
(-2(-5 + 3x2) + 7x2 * (-5 + 3x2)) = 0
((-5 * -2 + 3x2 * -2) + 7x2 * (-5 + 3x2)) = 0
((10 + -6x2) + 7x2 * (-5 + 3x2)) = 0
(10 + -6x2 + (-5 * 7x2 + 3x2 * 7x2)) = 0
(10 + -6x2 + (-35x2 + 21x4)) = 0

Combine like terms: -6x2 + -35x2 = -41x2
(10 + -41x2 + 21x4) = 0

Solving
10 + -41x2 + 21x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x2)(5 + -3x2) = 0


Subproblem 1
Set the factor '(2 + -7x2)' equal to zero and attempt to solve:

Simplifying
2 + -7x2 = 0

Solving
2 + -7x2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x2 = 0 + -2

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

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

Divide each side by '-7'.
x2 = 0.2857142857

Simplifying
x2 = 0.2857142857

Take the square root of each side:
x = {-0.534522484, 0.534522484}

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 = {-0.534522484, 0.534522484, -1.290994449, 1.290994449}

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