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Solve the inequality $-4x+\left(x+1\right)^2-3\left(\frac{3-2x}{5}+\frac{1}{3}\right)\leq -\left(x+1\right)^2$

Step-by-step Solution

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Final Answer

$x\leq 0.640312i-\frac{3}{10}$
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Step-by-step Solution

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Combine $\frac{3-2x}{5}+\frac{1}{3}$ in a single fraction

$-4x+\left(x+1\right)^2-\frac{3}{5}\left(3-2x+\frac{5}{3}\right)\leq -\left(x+1\right)^2$

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$-4x+\left(x+1\right)^2-\frac{3}{5}\left(3-2x+\frac{5}{3}\right)\leq -\left(x+1\right)^2$

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Learn how to solve problems step by step online. Solve the inequality -4x+(x+1)^2-3((3-2x)/5+1/3)<=-(x+1)^2. Combine \frac{3-2x}{5}+\frac{1}{3} in a single fraction. Add the values 3 and \frac{5}{3}. Expand \left(x+1\right)^2. Combining like terms -4x and 2x.

Final Answer

$x\leq 0.640312i-\frac{3}{10}$

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Function Plot

Plotting: $x\leq 0.640312i-\frac{3}{10}$

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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

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