6x^2-48x-42=0

Simple and best practice solution for 6x^2-48x-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 6x^2-48x-42=0 equation: 


Simplifying
6x2 + -48x + -42 = 0

Reorder the terms:
-42 + -48x + 6x2 = 0

Solving
-42 + -48x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-7 + -8x + x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-7 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
-7 + -8x + x2 = 0

Solving
-7 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -8x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + -8x + x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8x + x2 = 0 + 7
-8x + x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-8x + x2 = 7

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 7 + 16

Reorder the terms:
16 + -8x + x2 = 7 + 16

Combine like terms: 7 + 16 = 23
16 + -8x + x2 = 23

Factor a perfect square on the left side:
(x + -4)(x + -4) = 23

Calculate the square root of the right side: 4.795831523

Break this problem into two subproblems by setting 
(x + -4) equal to 4.795831523 and -4.795831523.


Subproblem 1
x + -4 = 4.795831523

Simplifying
x + -4 = 4.795831523

Reorder the terms:
-4 + x = 4.795831523

Solving
-4 + x = 4.795831523

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 4.795831523 + 4

Combine like terms: -4 + 4 = 0
0 + x = 4.795831523 + 4
x = 4.795831523 + 4

Combine like terms: 4.795831523 + 4 = 8.795831523
x = 8.795831523

Simplifying
x = 8.795831523


Subproblem 2
x + -4 = -4.795831523

Simplifying
x + -4 = -4.795831523

Reorder the terms:
-4 + x = -4.795831523

Solving
-4 + x = -4.795831523

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -4.795831523 + 4

Combine like terms: -4 + 4 = 0
0 + x = -4.795831523 + 4
x = -4.795831523 + 4

Combine like terms: -4.795831523 + 4 = -0.795831523
x = -0.795831523

Simplifying
x = -0.795831523


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.795831523, -0.795831523}
Solution
x = {8.795831523, -0.795831523}

See similar equations:

| 7x^2+51x+54=0 | | 808=p+500 | | 50+5x=13x-6 | | 400-m=146 | | e-405=325 | | -5x-2(3x-7)=9x+34 | | -2(x-7)=-10-6x | | 7(x+3)+6=11x-4(x-5) | | x+(-7)=15 | | 7x+0.7142857x=72 | | 2(7x+13)=18 | | 25+5x=30-10x | | 10x^2+x-4=0 | | 20+2x=10-2x | | -(3x+5)=-13 | | 12+4x=6-4x | | -19=6x-5+x | | 6x-5=-x-5 | | 6*6+45*(52)-(4+11*5)= | | x=WQH | | .25x^2+.5x-60=0 | | 4=.5m+3 | | -6x^2+2x+1=0 | | 1x^2+4x+9=0 | | 8-.4y=10 | | 10x^3+12x=-23x^2 | | 5t^3+17t^2+6t=0 | | 7x-4.23=.2x+2.57 | | 2t^2=18t | | -15=3-.75w | | .25=.4x+.05 | | (5x+9)=10 |

Equations solver categories