-x^2-2x+3=3

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Solution for -x^2-2x+3=3 equation:


Simplifying
-1x2 + -2x + 3 = 3

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

Add '-3' to each side of the equation.
3 + -2x + -3 + -1x2 = 3 + -3

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

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

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

Solving
-2x + -1x2 = 0

Solving for variable 'x'.

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

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