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Solve the inequality $6x^2-10x-4<0$

Step-by-step Solution

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Final answer to the problem

$x<2$
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Step-by-step Solution

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($6$) to all terms

$6\left(x^2-\frac{5}{3}x-\frac{2}{3}\right)<0$

Learn how to solve logarithmic equations problems step by step online.

$6\left(x^2-\frac{5}{3}x-\frac{2}{3}\right)<0$

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Learn how to solve logarithmic equations problems step by step online. Solve the inequality 6x^2-10x+-4<0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (6) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{5}{3}xx+\frac{25}{36}. Subtract the values -\frac{2}{3} and -\frac{25}{36}.

Final answer to the problem

$x<2$

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Function Plot

Plotting: $x<2$

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Answer Assistant

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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

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