-8x^3-14x^2-15x=0

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Solution for -8x^3-14x^2-15x=0 equation:


Simplifying
-8x3 + -14x2 + -15x = 0

Reorder the terms:
-15x + -14x2 + -8x3 = 0

Solving
-15x + -14x2 + -8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(15 + 14x + 8x2) = 0

Ignore the factor -1.

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 '(15 + 14x + 8x2)' equal to zero and attempt to solve: Simplifying 15 + 14x + 8x2 = 0 Solving 15 + 14x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.875 + 1.75x + x2 = 0 Move the constant term to the right: Add '-1.875' to each side of the equation. 1.875 + 1.75x + -1.875 + x2 = 0 + -1.875 Reorder the terms: 1.875 + -1.875 + 1.75x + x2 = 0 + -1.875 Combine like terms: 1.875 + -1.875 = 0.000 0.000 + 1.75x + x2 = 0 + -1.875 1.75x + x2 = 0 + -1.875 Combine like terms: 0 + -1.875 = -1.875 1.75x + x2 = -1.875 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -1.875 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -1.875 + 0.765625 Combine like terms: -1.875 + 0.765625 = -1.109375 0.765625 + 1.75x + x2 = -1.109375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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