=5(4x-6+x^3)+5x(9-2x^2)

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Solution for =5(4x-6+x^3)+5x(9-2x^2) equation:


Simplifying
0 = 5(4x + -6 + x3) + 5x(9 + -2x2)

Reorder the terms:
0 = 5(-6 + 4x + x3) + 5x(9 + -2x2)
0 = (-6 * 5 + 4x * 5 + x3 * 5) + 5x(9 + -2x2)
0 = (-30 + 20x + 5x3) + 5x(9 + -2x2)
0 = -30 + 20x + 5x3 + (9 * 5x + -2x2 * 5x)
0 = -30 + 20x + 5x3 + (45x + -10x3)

Reorder the terms:
0 = -30 + 20x + 45x + 5x3 + -10x3

Combine like terms: 20x + 45x = 65x
0 = -30 + 65x + 5x3 + -10x3

Combine like terms: 5x3 + -10x3 = -5x3
0 = -30 + 65x + -5x3

Solving
0 = -30 + 65x + -5x3

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + -65x + 5x3 = -30 + 65x + -5x3 + 30 + -65x + 5x3

Reorder the terms:
30 + -65x + 5x3 = -30 + 30 + 65x + -65x + -5x3 + 5x3

Combine like terms: -30 + 30 = 0
30 + -65x + 5x3 = 0 + 65x + -65x + -5x3 + 5x3
30 + -65x + 5x3 = 65x + -65x + -5x3 + 5x3

Combine like terms: 65x + -65x = 0
30 + -65x + 5x3 = 0 + -5x3 + 5x3
30 + -65x + 5x3 = -5x3 + 5x3

Combine like terms: -5x3 + 5x3 = 0
30 + -65x + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -13x + x3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(6 + -13x + x3)' equal to zero and attempt to solve: Simplifying 6 + -13x + x3 = 0 Solving 6 + -13x + x3 = 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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