=x*4(2x^3-3x^2)+x^4(2x*3-3x*2)

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Solution for =x*4(2x^3-3x^2)+x^4(2x*3-3x*2) equation: 


Simplifying
0 = x * 4(2x3 + -3x2) + x4(2x * 3 + -3x * 2)

Reorder the terms:
0 = x * 4(-3x2 + 2x3) + x4(2x * 3 + -3x * 2)

Reorder the terms for easier multiplication:
0 = 4x(-3x2 + 2x3) + x4(2x * 3 + -3x * 2)
0 = (-3x2 * 4x + 2x3 * 4x) + x4(2x * 3 + -3x * 2)
0 = (-12x3 + 8x4) + x4(2x * 3 + -3x * 2)

Reorder the terms for easier multiplication:
0 = -12x3 + 8x4 + x4(2 * 3x + -3x * 2)

Multiply 2 * 3
0 = -12x3 + 8x4 + x4(6x + -3x * 2)

Reorder the terms for easier multiplication:
0 = -12x3 + 8x4 + x4(6x + -3 * 2x)

Multiply -3 * 2
0 = -12x3 + 8x4 + x4(6x + -6x)

Combine like terms: 6x + -6x = 0
0 = -12x3 + 8x4 + x4(0)

Reorder the terms for easier multiplication:
0 = -12x3 + 8x4 + 0x4

Anything times zero is zero.
0 = -12x3 + 8x4 + 0x4

Reorder the terms:
0 = 0 + -12x3 + 8x4
Remove the zero:
0 = -12x3 + 8x4

Solving
0 = -12x3 + 8x4

Solving for variable 'x'.
Remove the zero:
12x3 + -8x4 = -12x3 + 8x4 + 12x3 + -8x4

Reorder the terms:
12x3 + -8x4 = -12x3 + 12x3 + 8x4 + -8x4

Combine like terms: -12x3 + 12x3 = 0
12x3 + -8x4 = 0 + 8x4 + -8x4
12x3 + -8x4 = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
12x3 + -8x4 = 0

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(3 + -2x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve:

Simplifying
x3 = 0

Solving
x3 = 0

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

Simplifying
x3 = 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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