44+27x+2x^2=x^2-6

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Solution for 44+27x+2x^2=x^2-6 equation:


Simplifying
44 + 27x + 2x2 = x2 + -6

Reorder the terms:
44 + 27x + 2x2 = -6 + x2

Solving
44 + 27x + 2x2 = -6 + x2

Solving for variable 'x'.

Reorder the terms:
44 + 6 + 27x + 2x2 + -1x2 = -6 + x2 + 6 + -1x2

Combine like terms: 44 + 6 = 50
50 + 27x + 2x2 + -1x2 = -6 + x2 + 6 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
50 + 27x + 1x2 = -6 + x2 + 6 + -1x2

Reorder the terms:
50 + 27x + 1x2 = -6 + 6 + x2 + -1x2

Combine like terms: -6 + 6 = 0
50 + 27x + 1x2 = 0 + x2 + -1x2
50 + 27x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
50 + 27x + 1x2 = 0

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

Subproblem 1

Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25

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 = {-25, -2}

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