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Popular >

-x^2+27<= 4x+6

Solution

- x^{2} + 27 \leq 4 x + 6

Solution

x \leq - 7 or x \geq 3

+1

Interval Notation

(- \infty, - 7] \cup [3, \infty)

Solution steps

- x^{2} + 27 \leq 4 x + 6

Rewrite in standard form

- x^{2} + 21 - 4 x \leq 0

Factor

- x^{2} + 21 - 4 x : - (x - 3) (x + 7)

- (x - 3) (x + 7) \leq 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x - 3) (x + 7)) (- 1) \geq 0 \cdot (- 1)

Simplify

(x - 3) (x + 7) \geq 0

Identify the intervals

x \leq - 7 or x \geq 3

Popular Examples

simplify-5/4*3 simplify

- \frac{5}{4} \cdot 3

2 x + 9 + 3 x + x = 1 x + 9

simplify 1/3-1/8 simplify

\frac{1}{3} - \frac{1}{8}

(3x+2)(4x+1)-3=0

(3 x + 2) (4 x + 1) - 3 = 0

simplify (11.7)/(1/2 (4.6)^2)*4.6 simplify

\frac{11.7}{\frac{1}{2} ( 4.6 ) ^{2}} \cdot 4.6

Frequently Asked Questions (FAQ)

What is -x^2+27<= 4x+6 ?
The solution to -x^2+27<= 4x+6 is x<=-7\lor x>= 3