j^2+10j+18=-7

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Solution for j^2+10j+18=-7 equation:


Simplifying
j2 + 10j + 18 = -7

Reorder the terms:
18 + 10j + j2 = -7

Solving
18 + 10j + j2 = -7

Solving for variable 'j'.

Reorder the terms:
18 + 7 + 10j + j2 = -7 + 7

Combine like terms: 18 + 7 = 25
25 + 10j + j2 = -7 + 7

Combine like terms: -7 + 7 = 0
25 + 10j + j2 = 0

Factor a trinomial.
(5 + j)(5 + j) = 0

Subproblem 1

Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5

Subproblem 2

Set the factor '(5 + j)' equal to zero and attempt to solve: Simplifying 5 + j = 0 Solving 5 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + j = 0 + -5 Combine like terms: 5 + -5 = 0 0 + j = 0 + -5 j = 0 + -5 Combine like terms: 0 + -5 = -5 j = -5 Simplifying j = -5

Solution

j = {-5, -5}

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