(X-5)(X+1)=

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Solution for (X-5)(X+1)= equation:


Simplifying
(X + -5)(X + 1) = 0

Reorder the terms:
(-5 + X)(X + 1) = 0

Reorder the terms:
(-5 + X)(1 + X) = 0

Multiply (-5 + X) * (1 + X)
(-5(1 + X) + X(1 + X)) = 0
((1 * -5 + X * -5) + X(1 + X)) = 0
((-5 + -5X) + X(1 + X)) = 0
(-5 + -5X + (1 * X + X * X)) = 0
(-5 + -5X + (1X + X2)) = 0

Combine like terms: -5X + 1X = -4X
(-5 + -4X + X2) = 0

Solving
-5 + -4X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-1 + -1X)(5 + -1X) = 0

Subproblem 1

Set the factor '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1

Subproblem 2

Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5

Solution

X = {-1, 5}

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