x^2+4x+3=3

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Solution for x^2+4x+3=3 equation:


Simplifying
x2 + 4x + 3 = 3

Reorder the terms:
3 + 4x + x2 = 3

Add '-3' to each side of the equation.
3 + 4x + -3 + x2 = 3 + -3

Reorder the terms:
3 + -3 + 4x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 4x + x2 = 3 + -3
4x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
4x + x2 = 0

Solving
4x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {0, -4}

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