Solve x^2 + 5x + 6
This page targets a direct quadratic-equation search and gives the worked factor route before any account flow is needed.
The specific expression or equation this page is built around.
x^2 + 5x + 6 = 0
This quadratic can be solved by factorising.
You need two numbers that multiply to 6 and add to 5.
One structured route through this exact problem.
- 1Look for a factor pair of 6 that adds to 5.
- 2The pair is 2 and 3.
- 3So the quadratic becomes (x + 2)(x + 3) = 0.
- 4Set each bracket equal to 0.
- 5The solutions are x = -2 and x = -3.
Use these quick checks before relying on the route.
- Substitute -2 into the original expression to check it gives 0.
- Substitute -3 into the original expression to check it gives 0.
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