16x^3-20x^2=14x

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Solution for 16x^3-20x^2=14x equation: 


Simplifying
16x3 + -20x2 = 14x

Reorder the terms:
-20x2 + 16x3 = 14x

Solving
-20x2 + 16x3 = 14x

Solving for variable 'x'.

Reorder the terms:
-14x + -20x2 + 16x3 = 14x + -14x

Combine like terms: 14x + -14x = 0
-14x + -20x2 + 16x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-7 + -10x + 8x2) = 0

Factor a trinomial.
2x((-1 + -2x)(7 + -4x)) = 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 '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 3
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {0, -0.5, 1.75}

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