2x^2+35x-8.9=0

Simple and best practice solution for 2x^2+35x-8.9=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+35x-8.9=0 equation: 


Simplifying
2x2 + 35x + -8.9 = 0

Reorder the terms:
-8.9 + 35x + 2x2 = 0

Solving
-8.9 + 35x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-4.45 + 17.5x + x2 = 0

Move the constant term to the right:

Add '4.45' to each side of the equation.
-4.45 + 17.5x + 4.45 + x2 = 0 + 4.45

Reorder the terms:
-4.45 + 4.45 + 17.5x + x2 = 0 + 4.45

Combine like terms: -4.45 + 4.45 = 0.00
0.00 + 17.5x + x2 = 0 + 4.45
17.5x + x2 = 0 + 4.45

Combine like terms: 0 + 4.45 = 4.45
17.5x + x2 = 4.45

The x term is 17.5x.  Take half its coefficient (8.75).
Square it (76.5625) and add it to both sides.

Add '76.5625' to each side of the equation.
17.5x + 76.5625 + x2 = 4.45 + 76.5625

Reorder the terms:
76.5625 + 17.5x + x2 = 4.45 + 76.5625

Combine like terms: 4.45 + 76.5625 = 81.0125
76.5625 + 17.5x + x2 = 81.0125

Factor a perfect square on the left side:
(x + 8.75)(x + 8.75) = 81.0125

Calculate the square root of the right side: 9.000694418

Break this problem into two subproblems by setting 
(x + 8.75) equal to 9.000694418 and -9.000694418.


Subproblem 1
x + 8.75 = 9.000694418

Simplifying
x + 8.75 = 9.000694418

Reorder the terms:
8.75 + x = 9.000694418

Solving
8.75 + x = 9.000694418

Solving for variable 'x'.

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

Add '-8.75' to each side of the equation.
8.75 + -8.75 + x = 9.000694418 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + x = 9.000694418 + -8.75
x = 9.000694418 + -8.75

Combine like terms: 9.000694418 + -8.75 = 0.250694418
x = 0.250694418

Simplifying
x = 0.250694418


Subproblem 2
x + 8.75 = -9.000694418

Simplifying
x + 8.75 = -9.000694418

Reorder the terms:
8.75 + x = -9.000694418

Solving
8.75 + x = -9.000694418

Solving for variable 'x'.

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

Add '-8.75' to each side of the equation.
8.75 + -8.75 + x = -9.000694418 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + x = -9.000694418 + -8.75
x = -9.000694418 + -8.75

Combine like terms: -9.000694418 + -8.75 = -17.750694418
x = -17.750694418

Simplifying
x = -17.750694418


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.250694418, -17.750694418}

See similar equations:

| 18-5/-20 | | 16+n+4ifn=12 | | 3/18=x | | 2x-9x+14=0 | | 0.6(x+1)=3x+4.2 | | 0.4x+4.1=0.9 | | x/5=(x/2)-3 | | 5=x(x/2)-3x | | t/3-5=12 | | 9x+6-3.5=-3+36 | | sqrt(-2x+1)-5=7x | | 21+1.1x=3(0.5x+6) | | x-8+7ify=12 | | sqrt(-2x-1)-5=7x | | Y-10+2ify=12 | | X=63-85xQ+4 | | 7(x+6)=4[x-(5-x)] | | 6x+1=x+31 | | 14x-(9x-2)=17 | | 13-3x=-17 | | -24sin(4x)=0 | | -4(3x+1)=2(x-9) | | 4x^2-3x=28 | | 10*ln(x)*x=32 | | 7*(5/3) | | 3x(x+12)=5 | | -(3x-5)=23 | | 108=14x+x^2 | | 9-(w-5)= | | Y=2Kx+5 | | (2/3)(3/5)= | | 0=2t^2-13t-21 |

Equations solver categories