2x^2+34x-60=0

Simple and best practice solution for 2x^2+34x-60=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2+34x-60=0 equation: 


Simplifying
2x2 + 34x + -60 = 0

Reorder the terms:
-60 + 34x + 2x2 = 0

Solving
-60 + 34x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-30 + 17x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-30 + 17x + x2)' equal to zero and attempt to solve:

Simplifying
-30 + 17x + x2 = 0

Solving
-30 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 17x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 17x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 17x + x2 = 0 + 30
17x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
17x + x2 = 30

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = 30 + 72.25

Reorder the terms:
72.25 + 17x + x2 = 30 + 72.25

Combine like terms: 30 + 72.25 = 102.25
72.25 + 17x + x2 = 102.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 102.25

Calculate the square root of the right side: 10.111874208

Break this problem into two subproblems by setting 
(x + 8.5) equal to 10.111874208 and -10.111874208.


Subproblem 1
x + 8.5 = 10.111874208

Simplifying
x + 8.5 = 10.111874208

Reorder the terms:
8.5 + x = 10.111874208

Solving
8.5 + x = 10.111874208

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 10.111874208 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 10.111874208 + -8.5
x = 10.111874208 + -8.5

Combine like terms: 10.111874208 + -8.5 = 1.611874208
x = 1.611874208

Simplifying
x = 1.611874208


Subproblem 2
x + 8.5 = -10.111874208

Simplifying
x + 8.5 = -10.111874208

Reorder the terms:
8.5 + x = -10.111874208

Solving
8.5 + x = -10.111874208

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = -10.111874208 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -10.111874208 + -8.5
x = -10.111874208 + -8.5

Combine like terms: -10.111874208 + -8.5 = -18.611874208
x = -18.611874208

Simplifying
x = -18.611874208


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.611874208, -18.611874208}
Solution
x = {1.611874208, -18.611874208}

See similar equations:

| x(2x+14)+24=24 | | 6t-5=2t+19 | | 2(x+4)(x+3)=0 | | f=6+3w-1 | | 4+8x=-38x | | f(w)=6w+3 | | 4(x+5)=0 | | 2x^2-12x=100 | | x(4x+4)-48=-48 | | 11x-7=5x+6 | | 10(8+x)=50 | | 4(x+4)(x-3)=0 | | 3y+2=27 | | 6(9-x)=30 | | 4x^2-4mx+m^2=0 | | 11x+11=6x+146 | | X-(-3)=-8 | | -9m-9=27 | | 20a/4b | | 2x-(3x-50)=4(3-2x)+(5x-2) | | 8+8=26 | | x(4x-12)-27=-27 | | (-8x+2)-(8x-206)=-412 | | 4(x+1.5)(x-4.5)=0 | | 8x+9=x+72 | | c=22ot+1890 | | 6n^2+5n+1=0 | | 9x+2=2x+37 | | 8/x=x/2 | | -10(s+4)=-57 | | -4z-5=5z+13 | | 0.4/x=x/1.7 |

Equations solver categories