3x^2+6x-3=-3

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Solution for 3x^2+6x-3=-3 equation:


Simplifying
3x2 + 6x + -3 = -3

Reorder the terms:
-3 + 6x + 3x2 = -3

Add '3' to each side of the equation.
-3 + 6x + 3 + 3x2 = -3 + 3

Reorder the terms:
-3 + 3 + 6x + 3x2 = -3 + 3

Combine like terms: -3 + 3 = 0
0 + 6x + 3x2 = -3 + 3
6x + 3x2 = -3 + 3

Combine like terms: -3 + 3 = 0
6x + 3x2 = 0

Solving
6x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + x) = 0

Ignore the factor 3.

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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