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Solve the equation $6x+x\left(x-13\right)=18$

Step-by-step Solution

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Final answer to the problem

$x=-2,\:x=9$
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Step-by-step Solution

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Multiply the single term $x$ by each term of the polynomial $\left(x-13\right)$

$6x+x^2-13x=18$

Learn how to solve one-variable linear equations problems step by step online.

$6x+x^2-13x=18$

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Learn how to solve one-variable linear equations problems step by step online. Solve the equation 6x+x(x-13)=18. Multiply the single term x by each term of the polynomial \left(x-13\right). Combining like terms 6x and -13x. Rewrite the equation. Factor the trinomial x^2-7x-18 finding two numbers that multiply to form -18 and added form -7.

Final answer to the problem

$x=-2,\:x=9$

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 quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $6x+x\left(x-13\right)-18$

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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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Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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