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# Solve the quadratic equation $3x^2-5x+2=0$

## Step-by-step Solution

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###  Solution

$x=1,\:x=\frac{2}{3}$
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##  Step-by-step Solution 

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Factor the trinomial $3x^2-5x+2$ of the form $ax^2+bx+c$, first, make the product of $3$ and $2$

$\left(3\right)\left(2\right)=6$

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$\left(3\right)\left(2\right)=6$

Learn how to solve problems step by step online. Solve the quadratic equation 3x^2-5x+2=0. Factor the trinomial 3x^2-5x+2 of the form ax^2+bx+c, first, make the product of 3 and 2. Now, find two numbers that multiplied give us 6 and add up to -5. Rewrite the original expression. Factor 3x^2-3x-2x+2 by the greatest common divisor 3.

$x=1,\:x=\frac{2}{3}$

##  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

Solve for xFind the rootsSolve by factoringSolve by quadratic formulaFind break even pointsFind the discriminant

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7
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9
0
a
b
c
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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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