x^2+30x-8=0

Simple and best practice solution for x^2+30x-8=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 x^2+30x-8=0 equation: 


Simplifying
x2 + 30x + -8 = 0

Reorder the terms:
-8 + 30x + x2 = 0

Solving
-8 + 30x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 30x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 30x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 30x + x2 = 0 + 8
30x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
30x + x2 = 8

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = 8 + 225

Reorder the terms:
225 + 30x + x2 = 8 + 225

Combine like terms: 8 + 225 = 233
225 + 30x + x2 = 233

Factor a perfect square on the left side:
(x + 15)(x + 15) = 233

Calculate the square root of the right side: 15.264337522

Break this problem into two subproblems by setting 
(x + 15) equal to 15.264337522 and -15.264337522.


Subproblem 1
x + 15 = 15.264337522

Simplifying
x + 15 = 15.264337522

Reorder the terms:
15 + x = 15.264337522

Solving
15 + x = 15.264337522

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = 15.264337522 + -15

Combine like terms: 15 + -15 = 0
0 + x = 15.264337522 + -15
x = 15.264337522 + -15

Combine like terms: 15.264337522 + -15 = 0.264337522
x = 0.264337522

Simplifying
x = 0.264337522


Subproblem 2
x + 15 = -15.264337522

Simplifying
x + 15 = -15.264337522

Reorder the terms:
15 + x = -15.264337522

Solving
15 + x = -15.264337522

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = -15.264337522 + -15

Combine like terms: 15 + -15 = 0
0 + x = -15.264337522 + -15
x = -15.264337522 + -15

Combine like terms: -15.264337522 + -15 = -30.264337522
x = -30.264337522

Simplifying
x = -30.264337522


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.264337522, -30.264337522}

See similar equations:

| 15(m-2)=(15-2)(m) | | 2m-9=21 | | x+1=2x-7 | | 7x-4=3x+32 | | 36=3(2x-4) | | 7x(16+3x)=21 | | 3m(12-3)=4m-4 | | 3x+5=-16 | | 8-(4y-1)=4-5y | | (4x+5)(x-2)=4x(x-2) | | 2+x=12 | | 4x+3=11+2x | | 6x+2=5x | | 8=x+15 | | 6+2(3x-8)=2x+18 | | 5x+4=34 | | x+.125=-.75 | | 7a-14=56 | | -4(x-8)-(6+6x)=-11x | | (5x+9)*-3=-1(2) | | -4.1x=-4x+4.5 | | -4.1x=-4x+4.5 | | 4.6x+3=3.6x | | 4y*5+2y*3= | | 6x-8=17+x | | 5x(6+2x)=60 | | 4+3y=19 | | x-13=-37 | | 2x+26=-11x | | 5x(6+2)=60 | | 4s+51+6s=17+8s | | 2+5(x-13)=x-3 |

Equations solver categories