(x+19)(x+27)=0

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Solution for (x+19)(x+27)=0 equation:


Simplifying
(x + 19)(x + 27) = 0

Reorder the terms:
(19 + x)(x + 27) = 0

Reorder the terms:
(19 + x)(27 + x) = 0

Multiply (19 + x) * (27 + x)
(19(27 + x) + x(27 + x)) = 0
((27 * 19 + x * 19) + x(27 + x)) = 0
((513 + 19x) + x(27 + x)) = 0
(513 + 19x + (27 * x + x * x)) = 0
(513 + 19x + (27x + x2)) = 0

Combine like terms: 19x + 27x = 46x
(513 + 46x + x2) = 0

Solving
513 + 46x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27

Subproblem 2

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

Solution

x = {-27, -19}

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