F(x)=7x^4-3x+x^2+5x-9x

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Solution for F(x)=7x^4-3x+x^2+5x-9x equation:


Simplifying
F(x) = 7x4 + -3x + x2 + 5x + -9x

Multiply F * x
xF = 7x4 + -3x + x2 + 5x + -9x

Reorder the terms:
xF = -3x + 5x + -9x + x2 + 7x4

Combine like terms: -3x + 5x = 2x
xF = 2x + -9x + x2 + 7x4

Combine like terms: 2x + -9x = -7x
xF = -7x + x2 + 7x4

Solving
xF = -7x + x2 + 7x4

Solving for variable 'x'.

Reorder the terms:
7x + xF + -1x2 + -7x4 = -7x + x2 + 7x4 + 7x + -1x2 + -7x4

Reorder the terms:
7x + xF + -1x2 + -7x4 = -7x + 7x + x2 + -1x2 + 7x4 + -7x4

Combine like terms: -7x + 7x = 0
7x + xF + -1x2 + -7x4 = 0 + x2 + -1x2 + 7x4 + -7x4
7x + xF + -1x2 + -7x4 = x2 + -1x2 + 7x4 + -7x4

Combine like terms: x2 + -1x2 = 0
7x + xF + -1x2 + -7x4 = 0 + 7x4 + -7x4
7x + xF + -1x2 + -7x4 = 7x4 + -7x4

Combine like terms: 7x4 + -7x4 = 0
7x + xF + -1x2 + -7x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + F + -1x + -7x3) = 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 + -1x + -7x3)' equal to zero and attempt to solve: Simplifying 7 + F + -1x + -7x3 = 0 Solving 7 + F + -1x + -7x3 = 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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