-6x^2+38x-16=0

Simple and best practice solution for -6x^2+38x-16=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+38x-16=0 equation: 


Simplifying
-6x2 + 38x + -16 = 0

Reorder the terms:
-16 + 38x + -6x2 = 0

Solving
-16 + 38x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 19x + -3x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + 19x + -3x2)' equal to zero and attempt to solve:

Simplifying
-8 + 19x + -3x2 = 0

Solving
-8 + 19x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
2.666666667 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -6.333333333x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -6.333333333x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -6.333333333x + x2 = 0 + -2.666666667
-6.333333333x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-6.333333333x + x2 = -2.666666667

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = -2.666666667 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = -2.666666667 + 10.02777778

Combine like terms: -2.666666667 + 10.02777778 = 7.361111113
10.02777778 + -6.333333333x + x2 = 7.361111113

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = 7.361111113

Calculate the square root of the right side: 2.713136766

Break this problem into two subproblems by setting 
(x + -3.166666667) equal to 2.713136766 and -2.713136766.


Subproblem 1
x + -3.166666667 = 2.713136766

Simplifying
x + -3.166666667 = 2.713136766

Reorder the terms:
-3.166666667 + x = 2.713136766

Solving
-3.166666667 + x = 2.713136766

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = 2.713136766 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = 2.713136766 + 3.166666667
x = 2.713136766 + 3.166666667

Combine like terms: 2.713136766 + 3.166666667 = 5.879803433
x = 5.879803433

Simplifying
x = 5.879803433


Subproblem 2
x + -3.166666667 = -2.713136766

Simplifying
x + -3.166666667 = -2.713136766

Reorder the terms:
-3.166666667 + x = -2.713136766

Solving
-3.166666667 + x = -2.713136766

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = -2.713136766 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = -2.713136766 + 3.166666667
x = -2.713136766 + 3.166666667

Combine like terms: -2.713136766 + 3.166666667 = 0.453529901
x = 0.453529901

Simplifying
x = 0.453529901


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.879803433, 0.453529901}
Solution
x = {5.879803433, 0.453529901}

See similar equations:

| D+6-5d=46 | | 3y+20=3+y | | 14n+25-5n=34 | | 4x+9=-18+7x | | 7r^2=-30-11r | | -9b-13+2b=1 | | 3x+.1=6 | | -1=n-14 | | 8x=2x-50 | | 20=v+17 | | 2(4x+3)=2x+6-3(2x) | | -2x+16=7x-11 | | 2(x-4)=5(2x+7) | | 3p+10=5p+4 | | 15x-3x-12=6 | | 42-4x=10 | | -7(x+3)-3(x-2)=-5-8x | | 6=3x^2-6x | | 5+3n=7n+5 | | (2x+5x)+(3x-10)=70 | | -2-10+4a= | | 3x+8=-3+14 | | g(x)=x^2+2x-99 | | 8(9f+7)-4(5f+3)= | | 7(4-1)=-84 | | 3a+(-7)=-7+(-3a) | | 6(-4b+7)-3(-2b+2)= | | 2[2x(4-3)]=3(6-2) | | 9+27=3(3+9) | | 6x-(3x+3)= | | 4b+5-4b=-38-11b-9 | | 2(a+5)+4a= |

Equations solver categories