4(625x^4-100x^2+4)+11(25x^2-2)-3=0

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Solution for 4(625x^4-100x^2+4)+11(25x^2-2)-3=0 equation: 


Simplifying
4(625x4 + -100x2 + 4) + 11(25x2 + -2) + -3 = 0

Reorder the terms:
4(4 + -100x2 + 625x4) + 11(25x2 + -2) + -3 = 0
(4 * 4 + -100x2 * 4 + 625x4 * 4) + 11(25x2 + -2) + -3 = 0
(16 + -400x2 + 2500x4) + 11(25x2 + -2) + -3 = 0

Reorder the terms:
16 + -400x2 + 2500x4 + 11(-2 + 25x2) + -3 = 0
16 + -400x2 + 2500x4 + (-2 * 11 + 25x2 * 11) + -3 = 0
16 + -400x2 + 2500x4 + (-22 + 275x2) + -3 = 0

Reorder the terms:
16 + -22 + -3 + -400x2 + 275x2 + 2500x4 = 0

Combine like terms: 16 + -22 = -6
-6 + -3 + -400x2 + 275x2 + 2500x4 = 0

Combine like terms: -6 + -3 = -9
-9 + -400x2 + 275x2 + 2500x4 = 0

Combine like terms: -400x2 + 275x2 = -125x2
-9 + -125x2 + 2500x4 = 0

Solving
-9 + -125x2 + 2500x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -25x2)(9 + -100x2) = 0

Factor a difference between two squares.
(-1 + -25x2)((3 + 10x)(3 + -10x)) = 0


Subproblem 1
Set the factor '(-1 + -25x2)' equal to zero and attempt to solve:

Simplifying
-1 + -25x2 = 0

Solving
-1 + -25x2 = 0

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

Add '1' to each side of the equation.
-1 + 1 + -25x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -25x2 = 0 + 1
-25x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-25x2 = 1

Divide each side by '-25'.
x2 = -0.04

Simplifying
x2 = -0.04

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 '(3 + 10x)' equal to zero and attempt to solve:

Simplifying
3 + 10x = 0

Solving
3 + 10x = 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 + 10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 0 + -3
10x = 0 + -3

Combine like terms: 0 + -3 = -3
10x = -3

Divide each side by '10'.
x = -0.3

Simplifying
x = -0.3

Subproblem 3
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {-0.3, 0.3}

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