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

## Step-by-step Solution

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

Problem to solve:

$2x^2+5x-3=0$

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1

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

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

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

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

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

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

##  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 completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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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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