5x^3+7x(14x^2-10x+14)+70x^2=

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Solution for 5x^3+7x(14x^2-10x+14)+70x^2= equation: 


Simplifying
5x3 + 7x(14x2 + -10x + 14) + 70x2 = 0

Reorder the terms:
5x3 + 7x(14 + -10x + 14x2) + 70x2 = 0
5x3 + (14 * 7x + -10x * 7x + 14x2 * 7x) + 70x2 = 0
5x3 + (98x + -70x2 + 98x3) + 70x2 = 0

Reorder the terms:
98x + -70x2 + 70x2 + 5x3 + 98x3 = 0

Combine like terms: -70x2 + 70x2 = 0
98x + 0 + 5x3 + 98x3 = 0
98x + 5x3 + 98x3 = 0

Combine like terms: 5x3 + 98x3 = 103x3
98x + 103x3 = 0

Solving
98x + 103x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(98 + 103x2) = 0


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 '(98 + 103x2)' equal to zero and attempt to solve:

Simplifying
98 + 103x2 = 0

Solving
98 + 103x2 = 0

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

Add '-98' to each side of the equation.
98 + -98 + 103x2 = 0 + -98

Combine like terms: 98 + -98 = 0
0 + 103x2 = 0 + -98
103x2 = 0 + -98

Combine like terms: 0 + -98 = -98
103x2 = -98

Divide each side by '103'.
x2 = -0.9514563107

Simplifying
x2 = -0.9514563107

The solution to this equation could not be determined.

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

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