(x^2-x+5)(3x^2-4x)=

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


Simplifying
(x2 + -1x + 5)(3x2 + -4x) = 0

Reorder the terms:
(5 + -1x + x2)(3x2 + -4x) = 0

Reorder the terms:
(5 + -1x + x2)(-4x + 3x2) = 0

Multiply (5 + -1x + x2) * (-4x + 3x2)
(5(-4x + 3x2) + -1x * (-4x + 3x2) + x2(-4x + 3x2)) = 0
((-4x * 5 + 3x2 * 5) + -1x * (-4x + 3x2) + x2(-4x + 3x2)) = 0
((-20x + 15x2) + -1x * (-4x + 3x2) + x2(-4x + 3x2)) = 0
(-20x + 15x2 + (-4x * -1x + 3x2 * -1x) + x2(-4x + 3x2)) = 0
(-20x + 15x2 + (4x2 + -3x3) + x2(-4x + 3x2)) = 0
(-20x + 15x2 + 4x2 + -3x3 + (-4x * x2 + 3x2 * x2)) = 0
(-20x + 15x2 + 4x2 + -3x3 + (-4x3 + 3x4)) = 0

Combine like terms: 15x2 + 4x2 = 19x2
(-20x + 19x2 + -3x3 + -4x3 + 3x4) = 0

Combine like terms: -3x3 + -4x3 = -7x3
(-20x + 19x2 + -7x3 + 3x4) = 0

Solving
-20x + 19x2 + -7x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 19x + -7x2 + 3x3) = 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 '(-20 + 19x + -7x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-20 + 19x + -7x2 + 3x3 = 0

Solving
-20 + 19x + -7x2 + 3x3 = 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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