8x^3-7x^2-15x=0

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Solution for 8x^3-7x^2-15x=0 equation:


Simplifying
8x3 + -7x2 + -15x = 0

Reorder the terms:
-15x + -7x2 + 8x3 = 0

Solving
-15x + -7x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -7x + 8x2) = 0

Factor a trinomial.
x((-1 + -1x)(15 + -8x)) = 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 '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875

Solution

x = {0, -1, 1.875}

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