# 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 Assessment TSI Math TSI Mathematics |

TSI Math | Intermediate Algebra and Functions |

TSI Mathematics | Intermediate Algebra and Functions |

Test Prep | TSI |

### Transcript

ten from both sides that normalize it that way And

that way we kind of think about this We can

simplify the equation by dividing both sides by five so

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

makes it way simpler now we just need some factors

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

two We always put the one in there to make

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

to be one times negative too or negative one times

positive to wealthy ex there is a positive one so

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

we get x minus one times x plus two equals

zero in the forensic there So to milk this equation

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

zero to solve for x That just means the equation

x minus one equals zero yields The solution that x

equals one Any equation x plus two a zero yields

The solution x equals minus two even though x minus

one is a factor of the quadratic Well negative one

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

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