# TSI Math: Solving and Simplifying a Quadratic Equation

Which of the following values of x is a solution of the equation 5x² + 5x = 10?

 Intermediate Algebra and Functions Quadratic and Other Polynomial Expressions, Equations, and Functions Mathematics and Statistics Assessment Quadratic and Other Polynomial Expressions, and Functions Product Type TSI TSI Mathematics and Statistics AssessmentTSI MathTSI Mathematics TSI Math Intermediate Algebra and Functions TSI Mathematics Intermediate Algebra and Functions Test Prep TSI

### Transcript

00:20

ten from both sides that normalize it that way And

00:23

00:25

simplify the equation by dividing both sides by five so

00:28

it'll give us x squared plus x minus two zero

00:31

makes it way simpler now we just need some factors

00:34

here so we've got x squared plus one x minus

00:38

two We always put the one in there to make

00:40

it easier to think about so let's see it's going

00:42

to be one times negative too or negative one times

00:47

positive to wealthy ex there is a positive one so

00:50

it's going to be negative one in positive too So

00:53

we get x minus one times x plus two equals

00:56

zero in the forensic there So to milk this equation

00:59

for solutions we've got to set each route equal to

01:01

zero to solve for x That just means the equation

01:04

x minus one equals zero yields The solution that x

01:07

equals one Any equation x plus two a zero yields

01:11

The solution x equals minus two even though x minus

01:14

one is a factor of the quadratic Well negative one

01:16

isn't one of our solutions and the rest of these

01:19

are all the trap So the answer is a negative 00:01:22.356 --> [endTime] too We're done