SOLUTION: Solve using the quadratic formula: 3x2 � 2x = 15x � 10

Question 196541: Solve using the quadratic formula:
3x2 � 2x = 15x � 10

Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Get all terms to the left side.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
3x^2�2x=15x�10
3x^2-2x-15x+10=0
3x^2-17x+10=0

x=(17+-sqrt(-17^2-4*3*10])/2*3
x=(17+-sqrt[289-120])/6
x=(17+-sqrt169)/6
x=(17+-13)/6
x=(17+13)/6
x=30/6
x=5 ans
x=(17-13)/6
x=4/6
x=2/3 ans.

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