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

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##  Final answer to the problem

$x\leq \sqrt{83}-7$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
1

Divide both sides of the inequation by $2$

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

Learn how to solve problems step by step online.

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

Learn how to solve problems step by step online. Solve the inequality 2x(x+14)<=68. Divide both sides of the inequation by 2. Divide 68 by 2. Multiply the single term x by each term of the polynomial \left(x+14\right). When multiplying two powers that have the same base (x), you can add the exponents.

##  Final answer to the problem

$x\leq \sqrt{83}-7$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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7
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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