(7x^2-15)(7x^2-15)=

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Solution for (7x^2-15)(7x^2-15)= equation: 


Simplifying
(7x2 + -15)(7x2 + -15) = 0

Reorder the terms:
(-15 + 7x2)(7x2 + -15) = 0

Reorder the terms:
(-15 + 7x2)(-15 + 7x2) = 0

Multiply (-15 + 7x2) * (-15 + 7x2)
(-15(-15 + 7x2) + 7x2 * (-15 + 7x2)) = 0
((-15 * -15 + 7x2 * -15) + 7x2 * (-15 + 7x2)) = 0
((225 + -105x2) + 7x2 * (-15 + 7x2)) = 0
(225 + -105x2 + (-15 * 7x2 + 7x2 * 7x2)) = 0
(225 + -105x2 + (-105x2 + 49x4)) = 0

Combine like terms: -105x2 + -105x2 = -210x2
(225 + -210x2 + 49x4) = 0

Solving
225 + -210x2 + 49x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + -7x2)(15 + -7x2) = 0


Subproblem 1
Set the factor '(15 + -7x2)' equal to zero and attempt to solve:

Simplifying
15 + -7x2 = 0

Solving
15 + -7x2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + -7x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -7x2 = 0 + -15
-7x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-7x2 = -15

Divide each side by '-7'.
x2 = 2.142857143

Simplifying
x2 = 2.142857143

Take the square root of each side:
x = {-1.463850109, 1.463850109}

Subproblem 2
Set the factor '(15 + -7x2)' equal to zero and attempt to solve:

Simplifying
15 + -7x2 = 0

Solving
15 + -7x2 = 0

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

Add '-15' to each side of the equation.
15 + -15 + -7x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -7x2 = 0 + -15
-7x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-7x2 = -15

Divide each side by '-7'.
x2 = 2.142857143

Simplifying
x2 = 2.142857143

Take the square root of each side:
x = {-1.463850109, 1.463850109}
Solution
x = {-1.463850109, 1.463850109, -1.463850109, 1.463850109}

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