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# Solve the quadratic equation $16-x^2=10-x$

## Step-by-step Solution

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### Videos

$x=-3,\:x=2$
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## Step-by-step Solution

Problem to solve:

$16-x^2=10-x$

Specify the solving method

1

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

$-x^2+x=-6$

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

$-x^2+x=-6$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 16-x^2=10-x. 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. Rewrite the equation. Factor the trinomial by -1 for an easier handling. Factor the trinomial -\left(x^2+x-6\right) finding two numbers that multiply to form -6 and added form -1.

$x=-3,\:x=2$
SnapXam A2

### beta Got another answer? Verify it!

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

$16-x^2=10-x$