X*X+X-2=0

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


Simplifying
X * X + X + -2 = 0

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

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

Solving
-2 + X + X2 = 0

Solving for variable 'X'.

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

Solution

X = {-2, 1}

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