F(x)=6x^4+32x^3-70x^2

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Solution for F(x)=6x^4+32x^3-70x^2 equation:


Simplifying
F(x) = 6x4 + 32x3 + -70x2

Multiply F * x
xF = 6x4 + 32x3 + -70x2

Reorder the terms:
xF = -70x2 + 32x3 + 6x4

Solving
xF = -70x2 + 32x3 + 6x4

Solving for variable 'x'.

Reorder the terms:
xF + 70x2 + -32x3 + -6x4 = -70x2 + 70x2 + 32x3 + -32x3 + 6x4 + -6x4

Combine like terms: -70x2 + 70x2 = 0
xF + 70x2 + -32x3 + -6x4 = 0 + 32x3 + -32x3 + 6x4 + -6x4
xF + 70x2 + -32x3 + -6x4 = 32x3 + -32x3 + 6x4 + -6x4

Combine like terms: 32x3 + -32x3 = 0
xF + 70x2 + -32x3 + -6x4 = 0 + 6x4 + -6x4
xF + 70x2 + -32x3 + -6x4 = 6x4 + -6x4

Combine like terms: 6x4 + -6x4 = 0
xF + 70x2 + -32x3 + -6x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 70x + -32x2 + -6x3) = 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 '(F + 70x + -32x2 + -6x3)' equal to zero and attempt to solve: Simplifying F + 70x + -32x2 + -6x3 = 0 Solving F + 70x + -32x2 + -6x3 = 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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