x^2+6x-30=0

Simple and best practice solution for x^2+6x-30=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+6x-30=0 equation:


Simplifying
x2 + 6x + -30 = 0

Reorder the terms:
-30 + 6x + x2 = 0

Solving
-30 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '30' to each side of the equation.
-30 + 6x + 30 + x2 = 0 + 30

Reorder the terms:
-30 + 30 + 6x + x2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 6x + x2 = 0 + 30
6x + x2 = 0 + 30

Combine like terms: 0 + 30 = 30
6x + x2 = 30

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 30 + 9

Reorder the terms:
9 + 6x + x2 = 30 + 9

Combine like terms: 30 + 9 = 39
9 + 6x + x2 = 39

Factor a perfect square on the left side:
(x + 3)(x + 3) = 39

Calculate the square root of the right side: 6.244997998

Break this problem into two subproblems by setting 
(x + 3) equal to 6.244997998 and -6.244997998.

Subproblem 1

x + 3 = 6.244997998 Simplifying x + 3 = 6.244997998 Reorder the terms: 3 + x = 6.244997998 Solving 3 + x = 6.244997998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 6.244997998 + -3 Combine like terms: 3 + -3 = 0 0 + x = 6.244997998 + -3 x = 6.244997998 + -3 Combine like terms: 6.244997998 + -3 = 3.244997998 x = 3.244997998 Simplifying x = 3.244997998

Subproblem 2

x + 3 = -6.244997998 Simplifying x + 3 = -6.244997998 Reorder the terms: 3 + x = -6.244997998 Solving 3 + x = -6.244997998 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -6.244997998 + -3 Combine like terms: 3 + -3 = 0 0 + x = -6.244997998 + -3 x = -6.244997998 + -3 Combine like terms: -6.244997998 + -3 = -9.244997998 x = -9.244997998 Simplifying x = -9.244997998

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.244997998, -9.244997998}

See similar equations:

| 9-6x=8x+10 | | 2x^3-3x^2-36x+120=0 | | 10x-4/16=8x-20/4 | | 3(x+8)=-30 | | (4-10x)/25=1/5 | | 2(x-4)=-30 | | 4-10x/25=1/5 | | 0.875w=0.5+0.75w | | 2x+4/9=1/6 | | 3(x+4)=-30 | | 9q-8=3q+16 | | 63x-2=1 | | 2x+5y=59 | | 6x+10=82-3x | | 5x+y=46 | | x*3=9 | | 4(x+6)=-20 | | x*78=79 | | 6(x+4)=-80 | | 6x+4=-80 | | 17=-12x-5 | | 6x+8=-86 | | 7x+4=-86 | | 4x^2-21x+2=0 | | 7x+6=-54 | | 5x+2=3x-7 | | 8w-12=9w-3 | | 5x-4=-9 | | 46-3x=15x+24 | | 4(x+6)(x+6)-4=140 | | -x^2+5x+6=0 | | 8-9x=143-44x |

Equations solver categories