(-x^2+6)x(2x^2+3x-5)=0

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Solution for (-x^2+6)x(2x^2+3x-5)=0 equation:


Simplifying
(-1x2 + 6) * x(2x2 + 3x + -5) = 0

Reorder the terms:
(6 + -1x2) * x(2x2 + 3x + -5) = 0

Reorder the terms:
(6 + -1x2) * x(-5 + 3x + 2x2) = 0

Reorder the terms for easier multiplication:
x(6 + -1x2)(-5 + 3x + 2x2) = 0

Multiply (6 + -1x2) * (-5 + 3x + 2x2)
x(6(-5 + 3x + 2x2) + -1x2 * (-5 + 3x + 2x2)) = 0
x((-5 * 6 + 3x * 6 + 2x2 * 6) + -1x2 * (-5 + 3x + 2x2)) = 0
x((-30 + 18x + 12x2) + -1x2 * (-5 + 3x + 2x2)) = 0
x(-30 + 18x + 12x2 + (-5 * -1x2 + 3x * -1x2 + 2x2 * -1x2)) = 0
x(-30 + 18x + 12x2 + (5x2 + -3x3 + -2x4)) = 0

Combine like terms: 12x2 + 5x2 = 17x2
x(-30 + 18x + 17x2 + -3x3 + -2x4) = 0
(-30 * x + 18x * x + 17x2 * x + -3x3 * x + -2x4 * x) = 0
(-30x + 18x2 + 17x3 + -3x4 + -2x5) = 0

Solving
-30x + 18x2 + 17x3 + -3x4 + -2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + 18x + 17x2 + -3x3 + -2x4) = 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 '(-30 + 18x + 17x2 + -3x3 + -2x4)' equal to zero and attempt to solve: Simplifying -30 + 18x + 17x2 + -3x3 + -2x4 = 0 Solving -30 + 18x + 17x2 + -3x3 + -2x4 = 0 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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