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Factor the expression $25x^2-2100x+90$

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Solution

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Final answer to the problem

$25\left(x-42\right)^2-44010$
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Step-by-step Solution

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Learn how to solve completing the square problems step by step online. Factor the expression 25x^2-2100x+90. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (25) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-84x+1764. Simplify the addition \left(x-42\right)^2+\frac{18}{5}-1764.

Final answer to the problem

$25\left(x-42\right)^2-44010$

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Function Plot

Plotting: $25\left(x-42\right)^2-44010$

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n
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x
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(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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: Completing the Square

In elementary algebra, completing the square is a technique for converting a quadratic polynomial of the form ax^2+bx+c to the form a(x+h)^2+k.

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