x^2+20x+100=25

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Solution for x^2+20x+100=25 equation:


Simplifying
x2 + 20x + 100 = 25

Reorder the terms:
100 + 20x + x2 = 25

Solving
100 + 20x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
100 + -25 + 20x + x2 = 25 + -25

Combine like terms: 100 + -25 = 75
75 + 20x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
75 + 20x + x2 = 0

Factor a trinomial.
(15 + x)(5 + x) = 0

Subproblem 1

Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15

Subproblem 2

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

Solution

x = {-15, -5}

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