x*x+3x-1=-1

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Solution for x*x+3x-1=-1 equation:


Simplifying
x * x + 3x + -1 = -1

Multiply x * x
x2 + 3x + -1 = -1

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

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

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

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

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

Solving
3x + x2 = 0

Solving for variable 'x'.

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

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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {0, -3}

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