j^2+20j+100=0

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Solution for j^2+20j+100=0 equation:


Simplifying
j2 + 20j + 100 = 0

Reorder the terms:
100 + 20j + j2 = 0

Solving
100 + 20j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(10 + j)(10 + j) = 0

Subproblem 1

Set the factor '(10 + j)' equal to zero and attempt to solve: Simplifying 10 + j = 0 Solving 10 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + j = 0 + -10 j = 0 + -10 Combine like terms: 0 + -10 = -10 j = -10 Simplifying j = -10

Subproblem 2

Set the factor '(10 + j)' equal to zero and attempt to solve: Simplifying 10 + j = 0 Solving 10 + j = 0 Move all terms containing j to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + j = 0 + -10 Combine like terms: 10 + -10 = 0 0 + j = 0 + -10 j = 0 + -10 Combine like terms: 0 + -10 = -10 j = -10 Simplifying j = -10

Solution

j = {-10, -10}

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