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

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


Simplifying
0 = (4x2 + -3x)(x2 + -1x + 2)

Reorder the terms:
0 = (-3x + 4x2)(x2 + -1x + 2)

Reorder the terms:
0 = (-3x + 4x2)(2 + -1x + x2)

Multiply (-3x + 4x2) * (2 + -1x + x2)
0 = (-3x * (2 + -1x + x2) + 4x2 * (2 + -1x + x2))
0 = ((2 * -3x + -1x * -3x + x2 * -3x) + 4x2 * (2 + -1x + x2))
0 = ((-6x + 3x2 + -3x3) + 4x2 * (2 + -1x + x2))
0 = (-6x + 3x2 + -3x3 + (2 * 4x2 + -1x * 4x2 + x2 * 4x2))
0 = (-6x + 3x2 + -3x3 + (8x2 + -4x3 + 4x4))

Reorder the terms:
0 = (-6x + 3x2 + 8x2 + -3x3 + -4x3 + 4x4)

Combine like terms: 3x2 + 8x2 = 11x2
0 = (-6x + 11x2 + -3x3 + -4x3 + 4x4)

Combine like terms: -3x3 + -4x3 = -7x3
0 = (-6x + 11x2 + -7x3 + 4x4)

Solving
0 = -6x + 11x2 + -7x3 + 4x4

Solving for variable 'x'.
Remove the zero:
6x + -11x2 + 7x3 + -4x4 = -6x + 11x2 + -7x3 + 4x4 + 6x + -11x2 + 7x3 + -4x4

Reorder the terms:
6x + -11x2 + 7x3 + -4x4 = -6x + 6x + 11x2 + -11x2 + -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: -6x + 6x = 0
6x + -11x2 + 7x3 + -4x4 = 0 + 11x2 + -11x2 + -7x3 + 7x3 + 4x4 + -4x4
6x + -11x2 + 7x3 + -4x4 = 11x2 + -11x2 + -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: 11x2 + -11x2 = 0
6x + -11x2 + 7x3 + -4x4 = 0 + -7x3 + 7x3 + 4x4 + -4x4
6x + -11x2 + 7x3 + -4x4 = -7x3 + 7x3 + 4x4 + -4x4

Combine like terms: -7x3 + 7x3 = 0
6x + -11x2 + 7x3 + -4x4 = 0 + 4x4 + -4x4
6x + -11x2 + 7x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
6x + -11x2 + 7x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -11x + 7x2 + -4x3) = 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 '(6 + -11x + 7x2 + -4x3)' equal to zero and attempt to solve:

Simplifying
6 + -11x + 7x2 + -4x3 = 0

Solving
6 + -11x + 7x2 + -4x3 = 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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