=19(x-3)(x^2-2x+5)

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Solution for =19(x-3)(x^2-2x+5) equation: 


Simplifying
0 = 19(x + -3)(x2 + -2x + 5)

Reorder the terms:
0 = 19(-3 + x)(x2 + -2x + 5)

Reorder the terms:
0 = 19(-3 + x)(5 + -2x + x2)

Multiply (-3 + x) * (5 + -2x + x2)
0 = 19(-3(5 + -2x + x2) + x(5 + -2x + x2))
0 = 19((5 * -3 + -2x * -3 + x2 * -3) + x(5 + -2x + x2))
0 = 19((-15 + 6x + -3x2) + x(5 + -2x + x2))
0 = 19(-15 + 6x + -3x2 + (5 * x + -2x * x + x2 * x))
0 = 19(-15 + 6x + -3x2 + (5x + -2x2 + x3))

Reorder the terms:
0 = 19(-15 + 6x + 5x + -3x2 + -2x2 + x3)

Combine like terms: 6x + 5x = 11x
0 = 19(-15 + 11x + -3x2 + -2x2 + x3)

Combine like terms: -3x2 + -2x2 = -5x2
0 = 19(-15 + 11x + -5x2 + x3)
0 = (-15 * 19 + 11x * 19 + -5x2 * 19 + x3 * 19)
0 = (-285 + 209x + -95x2 + 19x3)

Solving
0 = -285 + 209x + -95x2 + 19x3

Solving for variable 'x'.

Combine like terms: 0 + 285 = 285
285 + -209x + 95x2 + -19x3 = -285 + 209x + -95x2 + 19x3 + 285 + -209x + 95x2 + -19x3

Reorder the terms:
285 + -209x + 95x2 + -19x3 = -285 + 285 + 209x + -209x + -95x2 + 95x2 + 19x3 + -19x3

Combine like terms: -285 + 285 = 0
285 + -209x + 95x2 + -19x3 = 0 + 209x + -209x + -95x2 + 95x2 + 19x3 + -19x3
285 + -209x + 95x2 + -19x3 = 209x + -209x + -95x2 + 95x2 + 19x3 + -19x3

Combine like terms: 209x + -209x = 0
285 + -209x + 95x2 + -19x3 = 0 + -95x2 + 95x2 + 19x3 + -19x3
285 + -209x + 95x2 + -19x3 = -95x2 + 95x2 + 19x3 + -19x3

Combine like terms: -95x2 + 95x2 = 0
285 + -209x + 95x2 + -19x3 = 0 + 19x3 + -19x3
285 + -209x + 95x2 + -19x3 = 19x3 + -19x3

Combine like terms: 19x3 + -19x3 = 0
285 + -209x + 95x2 + -19x3 = 0

Factor out the Greatest Common Factor (GCF), '19'.
19(15 + -11x + 5x2 + -1x3) = 0

Ignore the factor 19.

Subproblem 1
Set the factor '(15 + -11x + 5x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
15 + -11x + 5x2 + -1x3 = 0

Solving
15 + -11x + 5x2 + -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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