(x+120)(x+80)=0

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Solution for (x+120)(x+80)=0 equation:


Simplifying
(x + 120)(x + 80) = 0

Reorder the terms:
(120 + x)(x + 80) = 0

Reorder the terms:
(120 + x)(80 + x) = 0

Multiply (120 + x) * (80 + x)
(120(80 + x) + x(80 + x)) = 0
((80 * 120 + x * 120) + x(80 + x)) = 0
((9600 + 120x) + x(80 + x)) = 0
(9600 + 120x + (80 * x + x * x)) = 0
(9600 + 120x + (80x + x2)) = 0

Combine like terms: 120x + 80x = 200x
(9600 + 200x + x2) = 0

Solving
9600 + 200x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(120 + x)(80 + x) = 0

Subproblem 1

Set the factor '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120

Subproblem 2

Set the factor '(80 + x)' equal to zero and attempt to solve: Simplifying 80 + x = 0 Solving 80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + x = 0 + -80 x = 0 + -80 Combine like terms: 0 + -80 = -80 x = -80 Simplifying x = -80

Solution

x = {-120, -80}

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