P(x)=x^2-18x

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Solution for P(x)=x^2-18x equation:


Simplifying
P(x) = x2 + -18x

Multiply P * x
xP = x2 + -18x

Reorder the terms:
xP = -18x + x2

Solving
xP = -18x + x2

Solving for variable 'x'.

Reorder the terms:
18x + xP + -1x2 = -18x + x2 + 18x + -1x2

Reorder the terms:
18x + xP + -1x2 = -18x + 18x + x2 + -1x2

Combine like terms: -18x + 18x = 0
18x + xP + -1x2 = 0 + x2 + -1x2
18x + xP + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18x + xP + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(18 + P + -1x) = 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 '(18 + P + -1x)' equal to zero and attempt to solve: Simplifying 18 + P + -1x = 0 Solving 18 + P + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + P + -18 + -1x = 0 + -18 Reorder the terms: 18 + -18 + P + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + P + -1x = 0 + -18 P + -1x = 0 + -18 Combine like terms: 0 + -18 = -18 P + -1x = -18 Add '-1P' to each side of the equation. P + -1P + -1x = -18 + -1P Combine like terms: P + -1P = 0 0 + -1x = -18 + -1P -1x = -18 + -1P Divide each side by '-1'. x = 18 + P Simplifying x = 18 + P

Solution

x = {0, 18 + P}

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