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

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


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

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

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

Multiply (-3 + 7x2) * (-5 + 2x2)
(-3(-5 + 2x2) + 7x2 * (-5 + 2x2)) = 0
((-5 * -3 + 2x2 * -3) + 7x2 * (-5 + 2x2)) = 0
((15 + -6x2) + 7x2 * (-5 + 2x2)) = 0
(15 + -6x2 + (-5 * 7x2 + 2x2 * 7x2)) = 0
(15 + -6x2 + (-35x2 + 14x4)) = 0

Combine like terms: -6x2 + -35x2 = -41x2
(15 + -41x2 + 14x4) = 0

Solving
15 + -41x2 + 14x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -7x2)(5 + -2x2) = 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 '(5 + -2x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x2 = 0

Solving
5 + -2x2 = 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 + -2x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x2 = 0 + -5
-2x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2x2 = -5

Divide each side by '-2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}
Solution
x = {-0.654653671, 0.654653671, -1.58113883, 1.58113883}

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