(5x^2+6x)(15x^2-4x-3)=0

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Solution for (5x^2+6x)(15x^2-4x-3)=0 equation:


Simplifying
(5x2 + 6x)(15x2 + -4x + -3) = 0

Reorder the terms:
(6x + 5x2)(15x2 + -4x + -3) = 0

Reorder the terms:
(6x + 5x2)(-3 + -4x + 15x2) = 0

Multiply (6x + 5x2) * (-3 + -4x + 15x2)
(6x * (-3 + -4x + 15x2) + 5x2 * (-3 + -4x + 15x2)) = 0
((-3 * 6x + -4x * 6x + 15x2 * 6x) + 5x2 * (-3 + -4x + 15x2)) = 0
((-18x + -24x2 + 90x3) + 5x2 * (-3 + -4x + 15x2)) = 0
(-18x + -24x2 + 90x3 + (-3 * 5x2 + -4x * 5x2 + 15x2 * 5x2)) = 0
(-18x + -24x2 + 90x3 + (-15x2 + -20x3 + 75x4)) = 0

Reorder the terms:
(-18x + -24x2 + -15x2 + 90x3 + -20x3 + 75x4) = 0

Combine like terms: -24x2 + -15x2 = -39x2
(-18x + -39x2 + 90x3 + -20x3 + 75x4) = 0

Combine like terms: 90x3 + -20x3 = 70x3
(-18x + -39x2 + 70x3 + 75x4) = 0

Solving
-18x + -39x2 + 70x3 + 75x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + -39x + 70x2 + 75x3) = 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 '(-18 + -39x + 70x2 + 75x3)' equal to zero and attempt to solve: Simplifying -18 + -39x + 70x2 + 75x3 = 0 Solving -18 + -39x + 70x2 + 75x3 = 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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