Solve the quadratic equation $6x-27=-x^2$

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Final answer to the problem

$x=3,\:x=-9$
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Factor the polynomial $6x-27$ by it's greatest common factor (GCF): $3$

$3\left(2x-9\right)=-x^2$

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

$3\left(2x-9\right)=-x^2$

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Learn how to solve equations quadratiques problems step by step online. Solve the quadratic equation 6x-27=-x^2. Factor the polynomial 6x-27 by it's greatest common factor (GCF): 3. Apply the formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, where x=2x-9, y=x^2, mx=ny=3\left(2x-9\right)=-x^2, mx=3\left(2x-9\right), ny=-x^2, m=3 and n=-1. Apply the formula: x+a=b\to x+a-a=b-a, where a=-9, b=-\frac{1}{3}x^2, x+a=b=2x-9=-\frac{1}{3}x^2, x=2x and x+a=2x-9. Apply the formula: x+a+c=b+f\to x=b-a, where a=-9, b=-\frac{1}{3}x^2, c=9, f=9 and x=2x.

Final answer to the problem

$x=3,\:x=-9$

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Function Plot

Plotting: $6x-27+x^2$

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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

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Main Topic: Equations quadratiques

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