G(x)=x^3+4x^2+3x

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Solution for G(x)=x^3+4x^2+3x equation:


Simplifying
G(x) = x3 + 4x2 + 3x

Multiply G * x
xG = x3 + 4x2 + 3x

Reorder the terms:
xG = 3x + 4x2 + x3

Solving
xG = 3x + 4x2 + x3

Solving for variable 'x'.

Reorder the terms:
-3x + xG + -4x2 + -1x3 = 3x + 4x2 + x3 + -3x + -4x2 + -1x3

Reorder the terms:
-3x + xG + -4x2 + -1x3 = 3x + -3x + 4x2 + -4x2 + x3 + -1x3

Combine like terms: 3x + -3x = 0
-3x + xG + -4x2 + -1x3 = 0 + 4x2 + -4x2 + x3 + -1x3
-3x + xG + -4x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4x2 + -4x2 = 0
-3x + xG + -4x2 + -1x3 = 0 + x3 + -1x3
-3x + xG + -4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-3x + xG + -4x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + G + -4x + -1x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + G + -4x + -1x2)' equal to zero and attempt to solve: Simplifying -3 + G + -4x + -1x2 = 0 Solving -3 + G + -4x + -1x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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