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MaRussiya
19 days ago
15

Complete the equivalent equation for -7x-60 =x^2 +10x

Mathematics
1 answer:
Zina [9.1K]19 days ago
6 0

Answer:

(x+12)(x+5)

Step-by-step explanation:

Using the formula: a²+bx+c

  • Set one side to zero:

Original equation:

-7x-60 =x² +10x

Rearranged:

x² + 17x + 60

  • Multiply A by C

Result:

(1)x x 60 = 60

  • Identify factors of 60 that sum up to 17.

Outcomes:

10 × 6, 60 × 1, 20 × 3, 5 × 12, 4 × 15

Choosing 5 and 12 yields 60, with a sum of 17.

  • Substitute 5 and 12 for 17

Updated:

x² + 5x + 12x + 60

  • Separate into two expressions

Updated:

x² + 5x  l  12x + 60

  • Factor each expression. Ensure ( ext{ }) have identical values within.

Final result:

x(x + 5)  l  +12(x+5)

  • Final answer: (x+12)(x+5)

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