👉 Try now NerdPal! Our new math app on iOS and Android

# Solve the quadratic equation $x^2-3=3x^2-4x$

## Step-by-step Solution

Go!
Math mode
Text mode
Go!
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

###  Solution

$x=\frac{2+\sqrt{2}i}{2},\:x=\frac{2-\sqrt{2}i}{2}$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$x^2-3=3x^2-4x$

Specify the solving method

1

Factor the polynomial $3x^2-4x$ by it's greatest common factor (GCF): $x$

$x^2-3=x\left(3x-4\right)$

Learn how to solve problems step by step online.

$x^2-3=x\left(3x-4\right)$

Learn how to solve problems step by step online. Solve the quadratic equation x^2-3=3x^2-4x. Factor the polynomial 3x^2-4x by it's greatest common factor (GCF): x. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -3 from both sides of the equation. Solve the product x\left(3x-4\right). 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.

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

##  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

SnapXam A2

Go!
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

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account