=12x^3-58x^2+70x

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Solution for =12x^3-58x^2+70x equation: 


Simplifying
0 = 12x3 + -58x2 + 70x

Reorder the terms:
0 = 70x + -58x2 + 12x3

Solving
0 = 70x + -58x2 + 12x3

Solving for variable 'x'.
Remove the zero:
-70x + 58x2 + -12x3 = 70x + -58x2 + 12x3 + -70x + 58x2 + -12x3

Reorder the terms:
-70x + 58x2 + -12x3 = 70x + -70x + -58x2 + 58x2 + 12x3 + -12x3

Combine like terms: 70x + -70x = 0
-70x + 58x2 + -12x3 = 0 + -58x2 + 58x2 + 12x3 + -12x3
-70x + 58x2 + -12x3 = -58x2 + 58x2 + 12x3 + -12x3

Combine like terms: -58x2 + 58x2 = 0
-70x + 58x2 + -12x3 = 0 + 12x3 + -12x3
-70x + 58x2 + -12x3 = 12x3 + -12x3

Combine like terms: 12x3 + -12x3 = 0
-70x + 58x2 + -12x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-35 + 29x + -6x2) = 0

Factor a trinomial.
2x((-5 + 2x)(7 + -3x)) = 0

Ignore the factor 2.

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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 3
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0, 2.5, 2.333333333}

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