15x^3-11x^2+14x^4=0

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Solution for 15x^3-11x^2+14x^4=0 equation: 


Simplifying
15x3 + -11x2 + 14x4 = 0

Reorder the terms:
-11x2 + 15x3 + 14x4 = 0

Solving
-11x2 + 15x3 + 14x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-11 + 15x + 14x2) = 0

Factor a trinomial.
x2((-11 + -7x)(1 + -2x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-11 + -7x)' equal to zero and attempt to solve:

Simplifying
-11 + -7x = 0

Solving
-11 + -7x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -7x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -7x = 0 + 11
-7x = 0 + 11

Combine like terms: 0 + 11 = 11
-7x = 11

Divide each side by '-7'.
x = -1.571428571

Simplifying
x = -1.571428571

Subproblem 3
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
Solution
x = {0, -1.571428571, 0.5}

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