(3x^2+5x)(16x^2-8x-3)=0

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Solution for (3x^2+5x)(16x^2-8x-3)=0 equation: 


Simplifying
(3x2 + 5x)(16x2 + -8x + -3) = 0

Reorder the terms:
(5x + 3x2)(16x2 + -8x + -3) = 0

Reorder the terms:
(5x + 3x2)(-3 + -8x + 16x2) = 0

Multiply (5x + 3x2) * (-3 + -8x + 16x2)
(5x * (-3 + -8x + 16x2) + 3x2 * (-3 + -8x + 16x2)) = 0
((-3 * 5x + -8x * 5x + 16x2 * 5x) + 3x2 * (-3 + -8x + 16x2)) = 0
((-15x + -40x2 + 80x3) + 3x2 * (-3 + -8x + 16x2)) = 0
(-15x + -40x2 + 80x3 + (-3 * 3x2 + -8x * 3x2 + 16x2 * 3x2)) = 0
(-15x + -40x2 + 80x3 + (-9x2 + -24x3 + 48x4)) = 0

Reorder the terms:
(-15x + -40x2 + -9x2 + 80x3 + -24x3 + 48x4) = 0

Combine like terms: -40x2 + -9x2 = -49x2
(-15x + -49x2 + 80x3 + -24x3 + 48x4) = 0

Combine like terms: 80x3 + -24x3 = 56x3
(-15x + -49x2 + 56x3 + 48x4) = 0

Solving
-15x + -49x2 + 56x3 + 48x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + -49x + 56x2 + 48x3) = 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 '(-15 + -49x + 56x2 + 48x3)' equal to zero and attempt to solve:

Simplifying
-15 + -49x + 56x2 + 48x3 = 0

Solving
-15 + -49x + 56x2 + 48x3 = 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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