x² + 5x + 6 = 0
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Standard Practice

Factor equations and find roots at your own pace with step-by-step feedback and hints.

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Beginner Mode

Every step broken down with clear explanations. Simpler problems, guided learning.

Step-by-Step
Factoring Medium
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Solve for x
x² + 5x + 6 = 0
Factored Form
(x + )(x + ) = 0

Negative roots → enter a negative number here

Solutions
Factoring Medium
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Solve — Enter Both Roots
Factoring Easy
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Guided Practice — Step by Step
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Factoring

ax² + bx + c = (x+m)(x+n)
Find m, n where:
m × n = c  and  m + n = b
Solutions: x = −m  and  x = −n

Quadratic Formula

x = (−b ± √Δ) / 2a
Δ = b² − 4ac
If Δ > 0 → two real roots
If Δ = 0 → one repeated root
If Δ < 0 → no real roots

Completing the Square

x² + bx + c = 0
(x + b/2)² = (b/2)² − c
x = −b/2 ± √((b/2)²−c)