An algebra problem by Noah Smalls

Algebra Level 1

Solve for $x$ .
$x^2+31x=0$

Write your answers as integers or as proper or improper fractions in simplest form. If there are multiple answers, separate them with commas.

0,-31 -31 0

2 solutions

Lew Sterling Jr
May 28, 2019

$\begin{matrix} &x^2+31x=0&\\ &x(x+31)=0&\\ \mathbf{x=0}&&x+31=0\\ &&x+31-31=0-31\\ &&\mathbf{x=-31} \end{matrix}$

Noah Smalls
Mar 13, 2017

Step 1: Factor. x^2+31x = 0 x(x+31) = 0 Factor out the greatest common factor, x Step 2: Use the zero product property to solve. According to the zero product property, if x(x+31)=0, then x must be 0 or x+31 must be 0. Write the two equations and solve for x.

x = 0 or

x+31 = 0 x = -31 The solutions are x=0 and x=-31.

And the answer x = 0 and x = 31 not -31.-.

Daniel Sugihantoro - 4 years, 2 months ago

there is no negative's?

Noah Smalls - 4 years, 2 months ago

I mean on multiple choice there is no negative so i think the answer would be 0 ._.

Daniel Sugihantoro - 4 years, 2 months ago

@Daniel Sugihantoro – Oh well your way to put it

Noah Smalls - 4 years, 2 months ago

Thanks. I've updated the options.

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Brilliant Mathematics Staff - 4 years, 2 months ago

An algebra problem by Noah Smalls

2 solutions

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