x(-x-3)=2

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Solution for x(-x-3)=2 equation:


Simplifying
x(-1x + -3) = 2

Reorder the terms:
x(-3 + -1x) = 2
(-3 * x + -1x * x) = 2
(-3x + -1x2) = 2

Solving
-3x + -1x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + -3x + -1x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -3x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 3x + x2) = 0

Factor a trinomial.
-1((2 + x)(1 + x)) = 0

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-2, -1}

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