x+70=x^3-39x+70

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Solution for x+70=x^3-39x+70 equation: 


Simplifying
x + 70 = x3 + -39x + 70

Reorder the terms:
70 + x = x3 + -39x + 70

Reorder the terms:
70 + x = 70 + -39x + x3

Add '-70' to each side of the equation.
70 + -70 + x = 70 + -39x + -70 + x3

Combine like terms: 70 + -70 = 0
0 + x = 70 + -39x + -70 + x3
x = 70 + -39x + -70 + x3

Reorder the terms:
x = 70 + -70 + -39x + x3

Combine like terms: 70 + -70 = 0
x = 0 + -39x + x3
x = -39x + x3

Solving
x = -39x + x3

Solving for variable 'x'.

Combine like terms: x + 39x = 40x
40x + -1x3 = -39x + x3 + 39x + -1x3

Reorder the terms:
40x + -1x3 = -39x + 39x + x3 + -1x3

Combine like terms: -39x + 39x = 0
40x + -1x3 = 0 + x3 + -1x3
40x + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
40x + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(40 + -1x2) = 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 '(40 + -1x2)' equal to zero and attempt to solve:

Simplifying
40 + -1x2 = 0

Solving
40 + -1x2 = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x2 = 0 + -40
-1x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-1x2 = -40

Divide each side by '-1'.
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}
Solution
x = {0, -6.32455532, 6.32455532}

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