0=2(2x^3+3x^2+7x-5)

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Solution for 0=2(2x^3+3x^2+7x-5) equation:


Simplifying
0 = 2(2x3 + 3x2 + 7x + -5)

Reorder the terms:
0 = 2(-5 + 7x + 3x2 + 2x3)
0 = (-5 * 2 + 7x * 2 + 3x2 * 2 + 2x3 * 2)
0 = (-10 + 14x + 6x2 + 4x3)

Solving
0 = -10 + 14x + 6x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -14x + -6x2 + -4x3 = -10 + 14x + 6x2 + 4x3 + 10 + -14x + -6x2 + -4x3

Reorder the terms:
10 + -14x + -6x2 + -4x3 = -10 + 10 + 14x + -14x + 6x2 + -6x2 + 4x3 + -4x3

Combine like terms: -10 + 10 = 0
10 + -14x + -6x2 + -4x3 = 0 + 14x + -14x + 6x2 + -6x2 + 4x3 + -4x3
10 + -14x + -6x2 + -4x3 = 14x + -14x + 6x2 + -6x2 + 4x3 + -4x3

Combine like terms: 14x + -14x = 0
10 + -14x + -6x2 + -4x3 = 0 + 6x2 + -6x2 + 4x3 + -4x3
10 + -14x + -6x2 + -4x3 = 6x2 + -6x2 + 4x3 + -4x3

Combine like terms: 6x2 + -6x2 = 0
10 + -14x + -6x2 + -4x3 = 0 + 4x3 + -4x3
10 + -14x + -6x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
10 + -14x + -6x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -7x + -3x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -7x + -3x2 + -2x3)' equal to zero and attempt to solve: Simplifying 5 + -7x + -3x2 + -2x3 = 0 Solving 5 + -7x + -3x2 + -2x3 = 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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