15x^5+11x^3-14x=0

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Solution for 15x^5+11x^3-14x=0 equation:


Simplifying
15x5 + 11x3 + -14x = 0

Reorder the terms:
-14x + 11x3 + 15x5 = 0

Solving
-14x + 11x3 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 11x2 + 15x4) = 0

Factor a trinomial.
x((-7 + -5x2)(2 + -3x2)) = 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 '(-7 + -5x2)' equal to zero and attempt to solve: Simplifying -7 + -5x2 = 0 Solving -7 + -5x2 = 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 + -5x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x2 = 0 + 7 -5x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -5x2 = 7 Divide each side by '-5'. x2 = -1.4 Simplifying x2 = -1.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -3x2 = 0 Solving 2 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 = 0 + -2 -3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 = -2 Divide each side by '-3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}

Solution

x = {0, -0.816496581, 0.816496581}

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