(x+9)(x+19)=0

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Solution for (x+9)(x+19)=0 equation:


Simplifying
(x + 9)(x + 19) = 0

Reorder the terms:
(9 + x)(x + 19) = 0

Reorder the terms:
(9 + x)(19 + x) = 0

Multiply (9 + x) * (19 + x)
(9(19 + x) + x(19 + x)) = 0
((19 * 9 + x * 9) + x(19 + x)) = 0
((171 + 9x) + x(19 + x)) = 0
(171 + 9x + (19 * x + x * x)) = 0
(171 + 9x + (19x + x2)) = 0

Combine like terms: 9x + 19x = 28x
(171 + 28x + x2) = 0

Solving
171 + 28x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + x)(9 + x) = 0

Subproblem 1

Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19

Subproblem 2

Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Solution

x = {-19, -9}

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