Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
So, x > 7 - 2; x >5 or
4 - x > 6; 4 - x - 6 > 0;
4 - 6 -x > 0;
- 2 -x > 0;
-2 > x;
Finally, x > 5 or x < -2;
76.
If the number after the decimal is below five, you round down. If the number is above five, you round up. 76 is your answer.
x ≈ 59°
Work is on piece of paper, yet I don't have a phone. I'm certain that is the answer.
6/10
300/500
30/50
60/100
12/20
