-9x^3-75x^2-84x=0

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Solution for -9x^3-75x^2-84x=0 equation:


Simplifying
-9x3 + -75x2 + -84x = 0

Reorder the terms:
-84x + -75x2 + -9x3 = 0

Solving
-84x + -75x2 + -9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(28 + 25x + 3x2) = 0

Factor a trinomial.
-3x((7 + x)(4 + 3x)) = 0

Ignore the factor -3.

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 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 3

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {0, -7, -1.333333333}

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