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# Solve the inequality $2x\left(x+14\right)\leq 68$

## Step-by-step Solution

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$x\leq 2.110434$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

${2x\cdot\left(x+14\right)}\leq {68}$

Specify the solving method

1

Divide both sides of the inequation by $2$

$x\left(x+14\right)\leq 34$

Learn how to solve one-variable linear inequalities problems step by step online.

$x\left(x+14\right)\leq 34$

Learn how to solve one-variable linear inequalities problems step by step online. Solve the inequality 2x(x+14)<=68. Divide both sides of the inequation by 2. Multiply the single term x by each term of the polynomial \left(x+14\right). Factor the polynomial x^2+14x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value 14. Now, we can factor x^2+14x+49 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.

$x\leq 2.110434$
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

${2x\cdot\left(x+14\right)}\leq {68}$