x(x+10)=-25

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Solution for x(x+10)=-25 equation:


Simplifying
x(x + 10) = -25

Reorder the terms:
x(10 + x) = -25
(10 * x + x * x) = -25
(10x + x2) = -25

Solving
10x + x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + 10x + x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 10x + x2 = 0

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

Subproblem 1

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

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 = {-5, -5}

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