x*x+16=-10x

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Solution for x*x+16=-10x equation:


Simplifying
x * x + 16 = -10x

Multiply x * x
x2 + 16 = -10x

Reorder the terms:
16 + x2 = -10x

Solving
16 + x2 = -10x

Solving for variable 'x'.

Reorder the terms:
16 + 10x + x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
16 + 10x + x2 = 0

Factor a trinomial.
(8 + x)(2 + x) = 0

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-8, -2}

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