-14x^3-350x+4x(x^2+25)(175-7x^2)=0

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Solution for -14x^3-350x+4x(x^2+25)(175-7x^2)=0 equation: 


Simplifying
-14x3 + -350x + 4x(x2 + 25)(175 + -7x2) = 0

Reorder the terms:
-14x3 + -350x + 4x(25 + x2)(175 + -7x2) = 0

Multiply (25 + x2) * (175 + -7x2)
-14x3 + -350x + 4x(25(175 + -7x2) + x2(175 + -7x2)) = 0
-14x3 + -350x + 4x((175 * 25 + -7x2 * 25) + x2(175 + -7x2)) = 0
-14x3 + -350x + 4x((4375 + -175x2) + x2(175 + -7x2)) = 0
-14x3 + -350x + 4x(4375 + -175x2 + (175 * x2 + -7x2 * x2)) = 0
-14x3 + -350x + 4x(4375 + -175x2 + (175x2 + -7x4)) = 0

Combine like terms: -175x2 + 175x2 = 0
-14x3 + -350x + 4x(4375 + 0 + -7x4) = 0
-14x3 + -350x + 4x(4375 + -7x4) = 0
-14x3 + -350x + (4375 * 4x + -7x4 * 4x) = 0
-14x3 + -350x + (17500x + -28x5) = 0

Reorder the terms:
-350x + 17500x + -14x3 + -28x5 = 0

Combine like terms: -350x + 17500x = 17150x
17150x + -14x3 + -28x5 = 0

Solving
17150x + -14x3 + -28x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '14x'.
14x(1225 + -1x2 + -2x4) = 0

Factor a trinomial.
14x((49 + -2x2)(25 + x2)) = 0

Ignore the factor 14.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(49 + -2x2)' equal to zero and attempt to solve:

Simplifying
49 + -2x2 = 0

Solving
49 + -2x2 = 0

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

Add '-49' to each side of the equation.
49 + -49 + -2x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2x2 = 0 + -49
-2x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-2x2 = -49

Divide each side by '-2'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}

Subproblem 3
Set the factor '(25 + x2)' equal to zero and attempt to solve:

Simplifying
25 + x2 = 0

Solving
25 + x2 = 0

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

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

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

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

Simplifying
x2 = -25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0, -4.949747468, 4.949747468}

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