4x(7-3x-2x^2)5(3x^2-12x)=

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Solution for 4x(7-3x-2x^2)5(3x^2-12x)= equation: 


Simplifying
4x(7 + -3x + -2x2) * 5(3x2 + -12x) = 0

Reorder the terms:
4x(7 + -3x + -2x2) * 5(-12x + 3x2) = 0

Reorder the terms for easier multiplication:
4 * 5x(7 + -3x + -2x2)(-12x + 3x2) = 0

Multiply 4 * 5
20x(7 + -3x + -2x2)(-12x + 3x2) = 0

Multiply (7 + -3x + -2x2) * (-12x + 3x2)
20x(7(-12x + 3x2) + -3x * (-12x + 3x2) + -2x2 * (-12x + 3x2)) = 0
20x((-12x * 7 + 3x2 * 7) + -3x * (-12x + 3x2) + -2x2 * (-12x + 3x2)) = 0
20x((-84x + 21x2) + -3x * (-12x + 3x2) + -2x2 * (-12x + 3x2)) = 0
20x(-84x + 21x2 + (-12x * -3x + 3x2 * -3x) + -2x2 * (-12x + 3x2)) = 0
20x(-84x + 21x2 + (36x2 + -9x3) + -2x2 * (-12x + 3x2)) = 0
20x(-84x + 21x2 + 36x2 + -9x3 + (-12x * -2x2 + 3x2 * -2x2)) = 0
20x(-84x + 21x2 + 36x2 + -9x3 + (24x3 + -6x4)) = 0

Combine like terms: 21x2 + 36x2 = 57x2
20x(-84x + 57x2 + -9x3 + 24x3 + -6x4) = 0

Combine like terms: -9x3 + 24x3 = 15x3
20x(-84x + 57x2 + 15x3 + -6x4) = 0
(-84x * 20x + 57x2 * 20x + 15x3 * 20x + -6x4 * 20x) = 0
(-1680x2 + 1140x3 + 300x4 + -120x5) = 0

Solving
-1680x2 + 1140x3 + 300x4 + -120x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '60x2'.
60x2(-28 + 19x + 5x2 + -2x3) = 0

Ignore the factor 60.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-28 + 19x + 5x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-28 + 19x + 5x2 + -2x3 = 0

Solving
-28 + 19x + 5x2 + -2x3 = 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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