(X+15)(X+8)=0

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Solution for (X+15)(X+8)=0 equation:


Simplifying
(X + 15)(X + 8) = 0

Reorder the terms:
(15 + X)(X + 8) = 0

Reorder the terms:
(15 + X)(8 + X) = 0

Multiply (15 + X) * (8 + X)
(15(8 + X) + X(8 + X)) = 0
((8 * 15 + X * 15) + X(8 + X)) = 0
((120 + 15X) + X(8 + X)) = 0
(120 + 15X + (8 * X + X * X)) = 0
(120 + 15X + (8X + X2)) = 0

Combine like terms: 15X + 8X = 23X
(120 + 23X + X2) = 0

Solving
120 + 23X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(15 + X)(8 + X) = 0

Subproblem 1

Set the factor '(15 + X)' equal to zero and attempt to solve: Simplifying 15 + X = 0 Solving 15 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + X = 0 + -15 X = 0 + -15 Combine like terms: 0 + -15 = -15 X = -15 Simplifying X = -15

Subproblem 2

Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8

Solution

X = {-15, -8}

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