F(x)=3x^3-7x^2+4x

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Solution for F(x)=3x^3-7x^2+4x equation:


Simplifying
F(x) = 3x3 + -7x2 + 4x

Multiply F * x
xF = 3x3 + -7x2 + 4x

Reorder the terms:
xF = 4x + -7x2 + 3x3

Solving
xF = 4x + -7x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
-4x + xF + 7x2 + -3x3 = 4x + -7x2 + 3x3 + -4x + 7x2 + -3x3

Reorder the terms:
-4x + xF + 7x2 + -3x3 = 4x + -4x + -7x2 + 7x2 + 3x3 + -3x3

Combine like terms: 4x + -4x = 0
-4x + xF + 7x2 + -3x3 = 0 + -7x2 + 7x2 + 3x3 + -3x3
-4x + xF + 7x2 + -3x3 = -7x2 + 7x2 + 3x3 + -3x3

Combine like terms: -7x2 + 7x2 = 0
-4x + xF + 7x2 + -3x3 = 0 + 3x3 + -3x3
-4x + xF + 7x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
-4x + xF + 7x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + F + 7x + -3x2) = 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 '(-4 + F + 7x + -3x2)' equal to zero and attempt to solve: Simplifying -4 + F + 7x + -3x2 = 0 Solving -4 + F + 7x + -3x2 = 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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