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Popular >

-x^2-8x-12<=-5

Solution

- x^{2} - 8 x - 12 \leq - 5

Solution

x \leq - 7 or x \geq - 1

+1

Interval Notation

(- \infty, - 7] \cup [- 1, \infty)

Solution steps

- x^{2} - 8 x - 12 \leq - 5

Rewrite in standard form

- x^{2} - 8 x - 7 \leq 0

Factor

- x^{2} - 8 x - 7 : - (x + 1) (x + 7)

- (x + 1) (x + 7) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 1) (x + 7)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x + 1) (x + 7) \geq 0

Identify the intervals

x \leq - 7 or x \geq - 1

Popular Examples

10 - (7 x - 2) + 1 = 8

z=(-5-4i)(3-7i)

z = (- 5 - 4 i) (3 - 7 i)

4(2x-1)+2x+2=28

4 (2 x - 1) + 2 x + 2 = 28

factor 2x^2-x factor

2 x^{2} - x

factor 32r^2-50 factor

32 r^{2} - 50

Frequently Asked Questions (FAQ)

What is -x^2-8x-12<=-5 ?
The solution to -x^2-8x-12<=-5 is x<=-7\lor x>=-1