(3x^6)(-2x-3)(3x^2)=

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Solution for (3x^6)(-2x-3)(3x^2)= equation:


Simplifying
(3x6)(-2x + -3)(3x2) = 0

Remove parenthesis around (3x6)
3x6(-2x + -3)(3x2) = 0

Reorder the terms:
3x6(-3 + -2x)(3x2) = 0

Remove parenthesis around (3x2)
3x6(-3 + -2x) * 3x2 = 0

Reorder the terms for easier multiplication:
3 * 3x6 * x2(-3 + -2x) = 0

Multiply 3 * 3
9x6 * x2(-3 + -2x) = 0

Multiply x6 * x2
9x8(-3 + -2x) = 0
(-3 * 9x8 + -2x * 9x8) = 0
(-27x8 + -18x9) = 0

Solving
-27x8 + -18x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-9x8'.
-9x8(3 + 2x) = 0

Ignore the factor -9.

Subproblem 1

Set the factor 'x8' equal to zero and attempt to solve: Simplifying x8 = 0 Solving x8 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-1.5}

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