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Solve the quadratic equation $x=x^2+3x+2$

Step-by-step Solution

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Final Answer

$x=\frac{-2+2i}{2},\:x=\frac{-2-2i}{2}$
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Step-by-step Solution

Problem to solve:

$x=x^2+3x+2$

Specify the solving method

1

Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

$x-x^2-3x=2$

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$x-x^2-3x=2$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x=x^2+3x+2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Combining like terms x and -3x. Factor the polynomial -2x-x^2 by it's GCF: -x. Multiply both sides of the equation by -1.

Final Answer

$x=\frac{-2+2i}{2},\:x=\frac{-2-2i}{2}$

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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

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even points

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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

How to improve your answer:

Main topic:

Quadratic equations

Used formulas:

1. See formulas

Time to solve it:

~ 0.17 s

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