0=x^2+6x-58

Simple and best practice solution for 0=x^2+6x-58 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 0=x^2+6x-58 equation:


Simplifying
0 = x2 + 6x + -58

Reorder the terms:
0 = -58 + 6x + x2

Solving
0 = -58 + 6x + x2

Solving for variable 'x'.

Combine like terms: 0 + 58 = 58
58 + -6x + -1x2 = -58 + 6x + x2 + 58 + -6x + -1x2

Reorder the terms:
58 + -6x + -1x2 = -58 + 58 + 6x + -6x + x2 + -1x2

Combine like terms: -58 + 58 = 0
58 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
58 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
58 + -6x + -1x2 = 0 + x2 + -1x2
58 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
58 + -6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-58 + 6x + x2 = 0

Move the constant term to the right:

Add '58' to each side of the equation.
-58 + 6x + 58 + x2 = 0 + 58

Reorder the terms:
-58 + 58 + 6x + x2 = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 6x + x2 = 0 + 58
6x + x2 = 0 + 58

Combine like terms: 0 + 58 = 58
6x + x2 = 58

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 = 58 + 9

Reorder the terms:
9 + 6x + x2 = 58 + 9

Combine like terms: 58 + 9 = 67
9 + 6x + x2 = 67

Factor a perfect square on the left side:
(x + 3)(x + 3) = 67

Calculate the square root of the right side: 8.185352772

Break this problem into two subproblems by setting 
(x + 3) equal to 8.185352772 and -8.185352772.

Subproblem 1

x + 3 = 8.185352772 Simplifying x + 3 = 8.185352772 Reorder the terms: 3 + x = 8.185352772 Solving 3 + x = 8.185352772 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 = 8.185352772 + -3 Combine like terms: 3 + -3 = 0 0 + x = 8.185352772 + -3 x = 8.185352772 + -3 Combine like terms: 8.185352772 + -3 = 5.185352772 x = 5.185352772 Simplifying x = 5.185352772

Subproblem 2

x + 3 = -8.185352772 Simplifying x + 3 = -8.185352772 Reorder the terms: 3 + x = -8.185352772 Solving 3 + x = -8.185352772 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 = -8.185352772 + -3 Combine like terms: 3 + -3 = 0 0 + x = -8.185352772 + -3 x = -8.185352772 + -3 Combine like terms: -8.185352772 + -3 = -11.185352772 x = -11.185352772 Simplifying x = -11.185352772

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.185352772, -11.185352772}

See similar equations:

| 2(w+22)+2w=204 | | 5(x-1)-35=60 | | 3502.8584=4*3.14*r^2 | | 1000*80.72= | | (-10)-(5)= | | S=50.5(4)+2(105) | | 30x+15(0)=40 | | 1492=4*3.14*r^2 | | 2x-1-8x=23 | | -6(2p+4)-30=5(4p+2) | | 30x+155=61x | | x=(34-27)33 | | 100*80.72= | | 7234.56=4*3.14r^2 | | X+1+6=4 | | Y=x-4xy-3 | | -(0.5)(4x+2)=-5 | | -29+8y+2=2(5y-3)-7 | | 30x+15(1)=40 | | 12x^2(5x*4)= | | -4+9(x-4)=13x+5-4x | | -12p+14=-22 | | -23=-2-a-10+a | | 232.2344=4*3.14r^2 | | 25-25= | | 1.89x+1=0 | | 3x=5(2x-1) | | (2y-1)*(-1)=71 | | 8(y-9)= | | (2x-3)+(3x-1)=(x-2)-(5-6) | | (2x-3)+(3x-1)=(x-2)-(5-6x) | | 6x^2-6x=12x |

Equations solver categories