Question

PLZ HURRY!!!!!!

What are the solutions to the equation?

3x^2+6x=45

Enter your answers into the boxes

Answer 1

`\bold{Answer}`

`\boxed{\bold{X \ = \ 3, \ X \ = \ -5}}`

`\bold{Explanation}`

• 
  `\bold{Solve \ For \ Solutions: \ 3x^2+6x=4}`

`\bold{------------------------}`

• 
  `\bold{Subtract \ 45 \ From \ Both \ Sides}`

`\bold{3x^2+6x-45=45-45}`

• 
  `\bold{Simplify}`

`\bold{3x^2+6x-45=0}`

• 
  `\bold{Solve \ With \ Quadratic \ Formula}`

`\bold{For\:a\:quadratic\:equation\:of\:the\:form\: ax^2+bx+c=0:the\:solutions\:are:\:}`

`\bold{x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)}`

• 
  `\bold{For \ a=3,\:b=6,\:c=-45:\quad x_(1,\:2)=(-6\pm √(6^2-4\cdot \:3\left(-45\right)))/(2\cdot \:3)}`

`\bold{(-6+√(6^2-4\cdot \:3\left(-45\right)))/(2\cdot \:3): \ 3}`

`\bold{(-6-√(6^2-4\cdot \:3\left(-45\right)))/(2\cdot \:3): \ -5}`

• 
  `\bold{Solutions}`

`\bold{x=3,\:x=-5}`

`\boxed{\bold{Eclipsed}}`

Answer 2

Solution:

{-5, 3}

Explanation:

3x^2+6x=45

3x^2+6x - 45 = 0

(3x - 9)(x + 5) = 0

3x - 9 = 0; x = 3

x + 5 = 0

x = -5

Solution:

{-5, 3}