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

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


Simplifying
0 = (4 + -1x + -2x2)(-2 + 10x)

Multiply (4 + -1x + -2x2) * (-2 + 10x)
0 = (4(-2 + 10x) + -1x * (-2 + 10x) + -2x2 * (-2 + 10x))
0 = ((-2 * 4 + 10x * 4) + -1x * (-2 + 10x) + -2x2 * (-2 + 10x))
0 = ((-8 + 40x) + -1x * (-2 + 10x) + -2x2 * (-2 + 10x))
0 = (-8 + 40x + (-2 * -1x + 10x * -1x) + -2x2 * (-2 + 10x))
0 = (-8 + 40x + (2x + -10x2) + -2x2 * (-2 + 10x))
0 = (-8 + 40x + 2x + -10x2 + (-2 * -2x2 + 10x * -2x2))
0 = (-8 + 40x + 2x + -10x2 + (4x2 + -20x3))

Combine like terms: 40x + 2x = 42x
0 = (-8 + 42x + -10x2 + 4x2 + -20x3)

Combine like terms: -10x2 + 4x2 = -6x2
0 = (-8 + 42x + -6x2 + -20x3)

Solving
0 = -8 + 42x + -6x2 + -20x3

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -42x + 6x2 + 20x3 = -8 + 42x + -6x2 + -20x3 + 8 + -42x + 6x2 + 20x3

Reorder the terms:
8 + -42x + 6x2 + 20x3 = -8 + 8 + 42x + -42x + -6x2 + 6x2 + -20x3 + 20x3

Combine like terms: -8 + 8 = 0
8 + -42x + 6x2 + 20x3 = 0 + 42x + -42x + -6x2 + 6x2 + -20x3 + 20x3
8 + -42x + 6x2 + 20x3 = 42x + -42x + -6x2 + 6x2 + -20x3 + 20x3

Combine like terms: 42x + -42x = 0
8 + -42x + 6x2 + 20x3 = 0 + -6x2 + 6x2 + -20x3 + 20x3
8 + -42x + 6x2 + 20x3 = -6x2 + 6x2 + -20x3 + 20x3

Combine like terms: -6x2 + 6x2 = 0
8 + -42x + 6x2 + 20x3 = 0 + -20x3 + 20x3
8 + -42x + 6x2 + 20x3 = -20x3 + 20x3

Combine like terms: -20x3 + 20x3 = 0
8 + -42x + 6x2 + 20x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -21x + 3x2 + 10x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -21x + 3x2 + 10x3)' equal to zero and attempt to solve:

Simplifying
4 + -21x + 3x2 + 10x3 = 0

Solving
4 + -21x + 3x2 + 10x3 = 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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