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

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


Simplifying
F(x) = 3x4 + 7x

Multiply F * x
xF = 3x4 + 7x

Reorder the terms:
xF = 7x + 3x4

Solving
xF = 7x + 3x4

Solving for variable 'x'.

Reorder the terms:
-7x + xF + -3x4 = 7x + 3x4 + -7x + -3x4

Reorder the terms:
-7x + xF + -3x4 = 7x + -7x + 3x4 + -3x4

Combine like terms: 7x + -7x = 0
-7x + xF + -3x4 = 0 + 3x4 + -3x4
-7x + xF + -3x4 = 3x4 + -3x4

Combine like terms: 3x4 + -3x4 = 0
-7x + xF + -3x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + F + -3x3) = 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 '(-7 + F + -3x3)' equal to zero and attempt to solve: Simplifying -7 + F + -3x3 = 0 Solving -7 + F + -3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + F + 7 + -3x3 = 0 + 7 Reorder the terms: -7 + 7 + F + -3x3 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + F + -3x3 = 0 + 7 F + -3x3 = 0 + 7 Combine like terms: 0 + 7 = 7 F + -3x3 = 7 Add '-1F' to each side of the equation. F + -1F + -3x3 = 7 + -1F Combine like terms: F + -1F = 0 0 + -3x3 = 7 + -1F -3x3 = 7 + -1F Divide each side by '-3'. x3 = -2.333333333 + 0.3333333333F Simplifying x3 = -2.333333333 + 0.3333333333F 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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