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# Solve the quadratic equation $2125x^2-84x-12495=0$

## Step-by-step Solution

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$x=2.444716,\:x=-2.405187$
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##  Step-by-step Solution 

Problem to solve:

$2125x^2-84x-12495=0$

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2125$) to all terms

$2125\left(x^2-\frac{10}{253}x-\frac{147}{25}\right)=0$

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$2125\left(x^2-\frac{10}{253}x-\frac{147}{25}\right)=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2125x^2-84x-12495=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2125) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{10}{253}xx+0.000391. Subtract the values -\frac{147}{25} and -0.000391.

$x=2.444716,\:x=-2.405187$

##  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 completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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a
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x
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◻/◻
/
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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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