3x^2+36x-42=0

Simple and best practice solution for 3x^2+36x-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 3x^2+36x-42=0 equation: 


Simplifying
3x2 + 36x + -42 = 0

Reorder the terms:
-42 + 36x + 3x2 = 0

Solving
-42 + 36x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 12x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-14 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
-14 + 12x + x2 = 0

Solving
-14 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + 12x + 14 + x2 = 0 + 14

Reorder the terms:
-14 + 14 + 12x + x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 12x + x2 = 0 + 14
12x + x2 = 0 + 14

Combine like terms: 0 + 14 = 14
12x + x2 = 14

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = 14 + 36

Reorder the terms:
36 + 12x + x2 = 14 + 36

Combine like terms: 14 + 36 = 50
36 + 12x + x2 = 50

Factor a perfect square on the left side:
(x + 6)(x + 6) = 50

Calculate the square root of the right side: 7.071067812

Break this problem into two subproblems by setting 
(x + 6) equal to 7.071067812 and -7.071067812.


Subproblem 1
x + 6 = 7.071067812

Simplifying
x + 6 = 7.071067812

Reorder the terms:
6 + x = 7.071067812

Solving
6 + x = 7.071067812

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + x = 7.071067812 + -6

Combine like terms: 6 + -6 = 0
0 + x = 7.071067812 + -6
x = 7.071067812 + -6

Combine like terms: 7.071067812 + -6 = 1.071067812
x = 1.071067812

Simplifying
x = 1.071067812


Subproblem 2
x + 6 = -7.071067812

Simplifying
x + 6 = -7.071067812

Reorder the terms:
6 + x = -7.071067812

Solving
6 + x = -7.071067812

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + x = -7.071067812 + -6

Combine like terms: 6 + -6 = 0
0 + x = -7.071067812 + -6
x = -7.071067812 + -6

Combine like terms: -7.071067812 + -6 = -13.071067812
x = -13.071067812

Simplifying
x = -13.071067812


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.071067812, -13.071067812}
Solution
x = {1.071067812, -13.071067812}

See similar equations:

| .02x+.18(25)=.10(x+25) | | (x-5)(-x^3+5x^2+3x-15)= | | 6+8*4= | | .02x+18(25)=.10(x+25) | | -x^3+5x^2+3x-15= | | 40(25+x)=2000 | | 5x^2-x+37=0 | | 3z+4=3-z | | 3z+4=3*3 | | -6y+5x=-12 | | 6y-5x=-12 | | 24*8x=6x | | 2x+x=54 | | x^6+3x^3+2=0 | | 3A+12-16A=-9 | | (-2y^2+3y-7)= | | 3(7+x)=60 | | 36x^3+x^2-21x=0 | | 3(2+x)=90 | | 0=11x | | 3(15+12)= | | 3(15+25)= | | 3(15+x)=96 | | 35-18x-5=0 | | 3x+5x-6=180 | | 2(4-1)= | | 4(2a-8)=0.14285714285(49a+70) | | 45(15+x)=1935 | | 2x+4(20-3x)=20 | | 2(5+x)=50 | | 2x+4(12-4x)=20 | | (3x^2)-4=0 |

Equations solver categories