11x=-x^2-28

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Solution for 11x=-x^2-28 equation:


Simplifying
11x = -1x2 + -28

Reorder the terms:
11x = -28 + -1x2

Solving
11x = -28 + -1x2

Solving for variable 'x'.

Reorder the terms:
28 + 11x + x2 = -28 + -1x2 + 28 + x2

Reorder the terms:
28 + 11x + x2 = -28 + 28 + -1x2 + x2

Combine like terms: -28 + 28 = 0
28 + 11x + x2 = 0 + -1x2 + x2
28 + 11x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
28 + 11x + x2 = 0

Factor a trinomial.
(7 + x)(4 + x) = 0

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-7, -4}

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