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# Solve the quadratic equation $-3x^2+24x-42=0$

## Step-by-step Solution

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###  Videos

$x=\frac{8+\sqrt{8}}{2},\:x=\frac{8-\sqrt{8}}{2}$
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##  Step-by-step Solution 

Problem to solve:

$-3x^2+24x-42=0$

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Factor the polynomial $-3x^2+24x-42$ by it's GCF: $3$

$3\left(-x^2+8x-14\right)=0$

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

$3\left(-x^2+8x-14\right)=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -3x^2+24x-42=0. Factor the polynomial -3x^2+24x-42 by it's GCF: 3. Divide both sides of the equation by 3. Simplifying the quotients. Divide 0 by 3.

$x=\frac{8+\sqrt{8}}{2},\:x=\frac{8-\sqrt{8}}{2}$

##  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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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

~ 0.09 s

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