P(x)=7x^16+4x^13-3x^10

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Solution for P(x)=7x^16+4x^13-3x^10 equation:


Simplifying
P(x) = 7x16 + 4x13 + -3x10

Multiply P * x
xP = 7x16 + 4x13 + -3x10

Reorder the terms:
xP = -3x10 + 4x13 + 7x16

Solving
xP = -3x10 + 4x13 + 7x16

Solving for variable 'x'.

Reorder the terms:
xP + 3x10 + -4x13 + -7x16 = -3x10 + 3x10 + 4x13 + -4x13 + 7x16 + -7x16

Combine like terms: -3x10 + 3x10 = 0
xP + 3x10 + -4x13 + -7x16 = 0 + 4x13 + -4x13 + 7x16 + -7x16
xP + 3x10 + -4x13 + -7x16 = 4x13 + -4x13 + 7x16 + -7x16

Combine like terms: 4x13 + -4x13 = 0
xP + 3x10 + -4x13 + -7x16 = 0 + 7x16 + -7x16
xP + 3x10 + -4x13 + -7x16 = 7x16 + -7x16

Combine like terms: 7x16 + -7x16 = 0
xP + 3x10 + -4x13 + -7x16 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(P + 3x9 + -4x12 + -7x15) = 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 '(P + 3x9 + -4x12 + -7x15)' equal to zero and attempt to solve: Simplifying P + 3x9 + -4x12 + -7x15 = 0 Solving P + 3x9 + -4x12 + -7x15 = 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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