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# Solve the quadratic equation $-16x^2+130x+3=0$

## Step-by-step Solution

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###  Videos

$x=8.148012,\:x=-0.023012$
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##  Step-by-step Solution 

Problem to solve:

$-16x^2+130x+3=0$

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For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$

$16x^2-130x-3=0$

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

$16x^2-130x-3=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -16x^2+130x+3=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=16, b=-130 and c=-3. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplify \frac{130\pm \sqrt{{\left(-130\right)}^2-4\cdot 16\cdot -3}}{2\cdot 16}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).

$x=8.148012,\:x=-0.023012$

##  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 completing the squareSolve by quadratic formulaFind break even points

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sinh
cosh
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coth
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asinh
acosh
atanh
acoth
asech
acsch

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