x^2+3x+c=0+c

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Solution for x^2+3x+c=0+c equation:


Simplifying
x2 + 3x + c = 0 + c

Reorder the terms:
c + 3x + x2 = 0 + c
Remove the zero:
c + 3x + x2 = c

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

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

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

Combine like terms: c + -1c = 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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