x^2+6x-42=0

Simple and best practice solution for x^2+6x-42=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-42=0 equation:


Simplifying
x2 + 6x + -42 = 0

Reorder the terms:
-42 + 6x + x2 = 0

Solving
-42 + 6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '42' to each side of the equation.
-42 + 6x + 42 + x2 = 0 + 42

Reorder the terms:
-42 + 42 + 6x + x2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 6x + x2 = 0 + 42
6x + x2 = 0 + 42

Combine like terms: 0 + 42 = 42
6x + x2 = 42

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 = 42 + 9

Reorder the terms:
9 + 6x + x2 = 42 + 9

Combine like terms: 42 + 9 = 51
9 + 6x + x2 = 51

Factor a perfect square on the left side:
(x + 3)(x + 3) = 51

Calculate the square root of the right side: 7.141428429

Break this problem into two subproblems by setting 
(x + 3) equal to 7.141428429 and -7.141428429.

Subproblem 1

x + 3 = 7.141428429 Simplifying x + 3 = 7.141428429 Reorder the terms: 3 + x = 7.141428429 Solving 3 + x = 7.141428429 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 = 7.141428429 + -3 Combine like terms: 3 + -3 = 0 0 + x = 7.141428429 + -3 x = 7.141428429 + -3 Combine like terms: 7.141428429 + -3 = 4.141428429 x = 4.141428429 Simplifying x = 4.141428429

Subproblem 2

x + 3 = -7.141428429 Simplifying x + 3 = -7.141428429 Reorder the terms: 3 + x = -7.141428429 Solving 3 + x = -7.141428429 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 = -7.141428429 + -3 Combine like terms: 3 + -3 = 0 0 + x = -7.141428429 + -3 x = -7.141428429 + -3 Combine like terms: -7.141428429 + -3 = -10.141428429 x = -10.141428429 Simplifying x = -10.141428429

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.141428429, -10.141428429}

See similar equations:

| (6+2)2*2-(2*45)= | | 40+14j=2(4j-13) | | 5h-7=2(h-1) | | 2x+3-1=11 | | 10-a=2a+9 | | 9a=6(9+4) | | 19-13p=17p-15 | | 7x=63-2x | | -0.1x^2+3x=y | | 9-2-2m+7m+7m= | | x^2-10x+74=0 | | 5+7-z+6z-2z= | | 88-7x=38x+23 | | 4x^2-15=5x^2+16x | | 5-9x=130-44x | | 143-4x=16x+23 | | 6x+36=3x | | 5m+4=6m | | 2x+33=10x-47 | | -16--12= | | (x-2)(3x+5)=0 | | 2x^2+8x-124=0 | | 3(7x+1)=5 | | 21x+3=5 | | 6x+16=-188-10x | | (13-z)z= | | (4x+7)(x^2+2x-3)= | | s^2+11s=-30 | | s^2+11s=30 | | 3x^3-192= | | x^3-192= | | 3x-192= |

Equations solver categories