-X*X+X+2=0

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Solution for -X*X+X+2=0 equation:


Simplifying
-1X * X + X + 2 = 0

Multiply X * X
-1X2 + X + 2 = 0

Reorder the terms:
2 + X + -1X2 = 0

Solving
2 + X + -1X2 = 0

Solving for variable 'X'.

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

Subproblem 1

Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 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 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. 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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