Quadratics

Solve x² + 4x - 12 = 0

Step-by-step solution with detailed explanations

Final Answer

x = 2 or x = -6

Step-by-Step Solution

1

Factor

Need numbers: product -12, sum 4

2

Factors

-2 × 6 = -12, -2 + 6 = 4

3

Solve

(x-2)(x+6) = 0

Expert Insights

Signs matter: Product negative means opposite signs
Sum positive: Larger number is positive

Pro Tip: Product sign tells you if factors have same/different signs

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