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# Solve the quadratic equation $10x^2-5x=9$

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##  Final Answer

$x=1.231071,\:x=-0.731071$
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##  Step-by-step Solution 

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Factor the polynomial $10x^2-5x$ by it's greatest common factor (GCF): $5x$

$5x\left(2x-1\right)=9$

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

$5x\left(2x-1\right)=9$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 10x^2-5x=9. Factor the polynomial 10x^2-5x by it's greatest common factor (GCF): 5x. Divide both sides of the equation by 5. Simplifying the quotients. Divide 9 by 5.

##  Final Answer

$x=1.231071,\:x=-0.731071$

##  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
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

### Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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