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Solve 5x²+9x-12=0 by factoring

User Jermel
by
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1 Answer

7 votes

Answer:

x = -3, 4/5

Explanation:

To factor the equation, you need to find factors of (5)(-12) that have a sum of (+9).

(5)(-12) = -60 = 60(-1) = 30(-2) = 15(-4) = 12(-5) = 10(-6)

The factors 15 and -4 have a sum of 9, so we can factor the equation as ...

5x² +15x -4x -12 = 0

5x(x +3) -4(x +3) = 0 . . . . factor pairs of terms

(5x -4)(x +3) = 0

The solutions are the values of x that make these factors zero:

5x -4 = 0 ⇒ x = 4/5

x +3 = 0 ⇒ x = -3

The solutions are x = -3 or 4/5.

User Jake Spencer
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