=(3x^2-x+1)(4-10x)

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Solution for =(3x^2-x+1)(4-10x) equation: 


Simplifying
0 = (3x2 + -1x + 1)(4 + -10x)

Reorder the terms:
0 = (1 + -1x + 3x2)(4 + -10x)

Multiply (1 + -1x + 3x2) * (4 + -10x)
0 = (1(4 + -10x) + -1x * (4 + -10x) + 3x2 * (4 + -10x))
0 = ((4 * 1 + -10x * 1) + -1x * (4 + -10x) + 3x2 * (4 + -10x))
0 = ((4 + -10x) + -1x * (4 + -10x) + 3x2 * (4 + -10x))
0 = (4 + -10x + (4 * -1x + -10x * -1x) + 3x2 * (4 + -10x))
0 = (4 + -10x + (-4x + 10x2) + 3x2 * (4 + -10x))
0 = (4 + -10x + -4x + 10x2 + (4 * 3x2 + -10x * 3x2))
0 = (4 + -10x + -4x + 10x2 + (12x2 + -30x3))

Combine like terms: -10x + -4x = -14x
0 = (4 + -14x + 10x2 + 12x2 + -30x3)

Combine like terms: 10x2 + 12x2 = 22x2
0 = (4 + -14x + 22x2 + -30x3)

Solving
0 = 4 + -14x + 22x2 + -30x3

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 14x + -22x2 + 30x3 = 4 + -14x + 22x2 + -30x3 + -4 + 14x + -22x2 + 30x3

Reorder the terms:
-4 + 14x + -22x2 + 30x3 = 4 + -4 + -14x + 14x + 22x2 + -22x2 + -30x3 + 30x3

Combine like terms: 4 + -4 = 0
-4 + 14x + -22x2 + 30x3 = 0 + -14x + 14x + 22x2 + -22x2 + -30x3 + 30x3
-4 + 14x + -22x2 + 30x3 = -14x + 14x + 22x2 + -22x2 + -30x3 + 30x3

Combine like terms: -14x + 14x = 0
-4 + 14x + -22x2 + 30x3 = 0 + 22x2 + -22x2 + -30x3 + 30x3
-4 + 14x + -22x2 + 30x3 = 22x2 + -22x2 + -30x3 + 30x3

Combine like terms: 22x2 + -22x2 = 0
-4 + 14x + -22x2 + 30x3 = 0 + -30x3 + 30x3
-4 + 14x + -22x2 + 30x3 = -30x3 + 30x3

Combine like terms: -30x3 + 30x3 = 0
-4 + 14x + -22x2 + 30x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 7x + -11x2 + 15x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 7x + -11x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
-2 + 7x + -11x2 + 15x3 = 0

Solving
-2 + 7x + -11x2 + 15x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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