84=(6-x)(74-2x^2)

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Solution for 84=(6-x)(74-2x^2) equation: 


Simplifying
84 = (6 + -1x)(74 + -2x2)

Multiply (6 + -1x) * (74 + -2x2)
84 = (6(74 + -2x2) + -1x * (74 + -2x2))
84 = ((74 * 6 + -2x2 * 6) + -1x * (74 + -2x2))
84 = ((444 + -12x2) + -1x * (74 + -2x2))
84 = (444 + -12x2 + (74 * -1x + -2x2 * -1x))
84 = (444 + -12x2 + (-74x + 2x3))

Reorder the terms:
84 = (444 + -74x + -12x2 + 2x3)
84 = (444 + -74x + -12x2 + 2x3)

Solving
84 = 444 + -74x + -12x2 + 2x3

Solving for variable 'x'.

Combine like terms: 84 + -444 = -360
-360 + 74x + 12x2 + -2x3 = 444 + -74x + -12x2 + 2x3 + -444 + 74x + 12x2 + -2x3

Reorder the terms:
-360 + 74x + 12x2 + -2x3 = 444 + -444 + -74x + 74x + -12x2 + 12x2 + 2x3 + -2x3

Combine like terms: 444 + -444 = 0
-360 + 74x + 12x2 + -2x3 = 0 + -74x + 74x + -12x2 + 12x2 + 2x3 + -2x3
-360 + 74x + 12x2 + -2x3 = -74x + 74x + -12x2 + 12x2 + 2x3 + -2x3

Combine like terms: -74x + 74x = 0
-360 + 74x + 12x2 + -2x3 = 0 + -12x2 + 12x2 + 2x3 + -2x3
-360 + 74x + 12x2 + -2x3 = -12x2 + 12x2 + 2x3 + -2x3

Combine like terms: -12x2 + 12x2 = 0
-360 + 74x + 12x2 + -2x3 = 0 + 2x3 + -2x3
-360 + 74x + 12x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-360 + 74x + 12x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-180 + 37x + 6x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-180 + 37x + 6x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-180 + 37x + 6x2 + -1x3 = 0

Solving
-180 + 37x + 6x2 + -1x3 = 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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