(x+16)(x+18)=

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Solution for (x+16)(x+18)= equation:


Simplifying
(x + 16)(x + 18) = 0

Reorder the terms:
(16 + x)(x + 18) = 0

Reorder the terms:
(16 + x)(18 + x) = 0

Multiply (16 + x) * (18 + x)
(16(18 + x) + x(18 + x)) = 0
((18 * 16 + x * 16) + x(18 + x)) = 0
((288 + 16x) + x(18 + x)) = 0
(288 + 16x + (18 * x + x * x)) = 0
(288 + 16x + (18x + x2)) = 0

Combine like terms: 16x + 18x = 34x
(288 + 34x + x2) = 0

Solving
288 + 34x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + x)(16 + x) = 0

Subproblem 1

Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18

Subproblem 2

Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Solution

x = {-18, -16}

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