-x^2-x+2=2

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Solution for -x^2-x+2=2 equation:


Simplifying
-1x2 + -1x + 2 = 2

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

Add '-2' to each side of the equation.
2 + -1x + -2 + -1x2 = 2 + -2

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

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

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

Solving
-1x + -1x2 = 0

Solving for variable 'x'.

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

Ignore the factor -1.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

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 = {0, -1}

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