2x^2+35x-62=0

Simple and best practice solution for 2x^2+35x-62=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-62=0 equation: 


Simplifying
2x2 + 35x + -62 = 0

Reorder the terms:
-62 + 35x + 2x2 = 0

Solving
-62 + 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'.
-31 + 17.5x + x2 = 0

Move the constant term to the right:

Add '31' to each side of the equation.
-31 + 17.5x + 31 + x2 = 0 + 31

Reorder the terms:
-31 + 31 + 17.5x + x2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 17.5x + x2 = 0 + 31
17.5x + x2 = 0 + 31

Combine like terms: 0 + 31 = 31
17.5x + x2 = 31

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 = 31 + 76.5625

Reorder the terms:
76.5625 + 17.5x + x2 = 31 + 76.5625

Combine like terms: 31 + 76.5625 = 107.5625
76.5625 + 17.5x + x2 = 107.5625

Factor a perfect square on the left side:
(x + 8.75)(x + 8.75) = 107.5625

Calculate the square root of the right side: 10.371234256

Break this problem into two subproblems by setting 
(x + 8.75) equal to 10.371234256 and -10.371234256.


Subproblem 1
x + 8.75 = 10.371234256

Simplifying
x + 8.75 = 10.371234256

Reorder the terms:
8.75 + x = 10.371234256

Solving
8.75 + x = 10.371234256

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 = 10.371234256 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + x = 10.371234256 + -8.75
x = 10.371234256 + -8.75

Combine like terms: 10.371234256 + -8.75 = 1.621234256
x = 1.621234256

Simplifying
x = 1.621234256


Subproblem 2
x + 8.75 = -10.371234256

Simplifying
x + 8.75 = -10.371234256

Reorder the terms:
8.75 + x = -10.371234256

Solving
8.75 + x = -10.371234256

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 = -10.371234256 + -8.75

Combine like terms: 8.75 + -8.75 = 0.00
0.00 + x = -10.371234256 + -8.75
x = -10.371234256 + -8.75

Combine like terms: -10.371234256 + -8.75 = -19.121234256
x = -19.121234256

Simplifying
x = -19.121234256


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.621234256, -19.121234256}

See similar equations:

| 0.20x+0.45(50)=34.5 | | -1=1-5(0) | | -7=3(q-5)-9 | | (5-5+2y)+2y=-1 | | 5+2x-3=10 | | 6(3n+3)=9(8n+2)+1 | | 3x^5-33x^3=-84x | | 13.3=y | | m=12+n | | 2x-1=2(x-7) | | 4x^2-y^2+4z^2=0 | | 10-(6-6n)+10n=-2+12(n+1) | | 3a+1+3=10 | | 5(x+3)-2x=3 | | -50+8y=14 | | 6+7.x=41 | | 3x^5-33x^5=-84x | | 4(3x+5)=-40+24 | | 0.25x+0.5(2y)=10 | | 4+4n=10+12n | | y=-(x-1)2+6 | | d=r | | 9x^2-25y^2=1 | | 4k+8=12k | | T-5t+9=8-4t+1 | | -4(x-6)-25=-1 | | 5x-5y=xz-xy | | -8=1+2m+3 | | y=-2(x-1)2+6 | | -5(m+7)=5(m-1) | | 2(16-x+3)+2x=4 | | 0.4x-0.9x-34=1 |

Equations solver categories