6x^2-25x+16=0

Simple and best practice solution for 6x^2-25x+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^2-25x+16=0 equation: 


Simplifying
6x2 + -25x + 16 = 0

Reorder the terms:
16 + -25x + 6x2 = 0

Solving
16 + -25x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.666666667 + -4.166666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -4.166666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -4.166666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -4.166666667x + x2 = 0 + -2.666666667
-4.166666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-4.166666667x + x2 = -2.666666667

The x term is -4.166666667x.  Take half its coefficient (-2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
-4.166666667x + 4.340277781 + x2 = -2.666666667 + 4.340277781

Reorder the terms:
4.340277781 + -4.166666667x + x2 = -2.666666667 + 4.340277781

Combine like terms: -2.666666667 + 4.340277781 = 1.673611114
4.340277781 + -4.166666667x + x2 = 1.673611114

Factor a perfect square on the left side:
(x + -2.083333334)(x + -2.083333334) = 1.673611114

Calculate the square root of the right side: 1.293681226

Break this problem into two subproblems by setting 
(x + -2.083333334) equal to 1.293681226 and -1.293681226.


Subproblem 1
x + -2.083333334 = 1.293681226

Simplifying
x + -2.083333334 = 1.293681226

Reorder the terms:
-2.083333334 + x = 1.293681226

Solving
-2.083333334 + x = 1.293681226

Solving for variable 'x'.

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

Add '2.083333334' to each side of the equation.
-2.083333334 + 2.083333334 + x = 1.293681226 + 2.083333334

Combine like terms: -2.083333334 + 2.083333334 = 0.000000000
0.000000000 + x = 1.293681226 + 2.083333334
x = 1.293681226 + 2.083333334

Combine like terms: 1.293681226 + 2.083333334 = 3.37701456
x = 3.37701456

Simplifying
x = 3.37701456


Subproblem 2
x + -2.083333334 = -1.293681226

Simplifying
x + -2.083333334 = -1.293681226

Reorder the terms:
-2.083333334 + x = -1.293681226

Solving
-2.083333334 + x = -1.293681226

Solving for variable 'x'.

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

Add '2.083333334' to each side of the equation.
-2.083333334 + 2.083333334 + x = -1.293681226 + 2.083333334

Combine like terms: -2.083333334 + 2.083333334 = 0.000000000
0.000000000 + x = -1.293681226 + 2.083333334
x = -1.293681226 + 2.083333334

Combine like terms: -1.293681226 + 2.083333334 = 0.789652108
x = 0.789652108

Simplifying
x = 0.789652108


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.37701456, 0.789652108}

See similar equations:

| 6x^2-11x-10=8 | | 0.15(3n+2)+0.05=0.5(0.9n+0.7) | | 0.002x+0.5x=10.4 | | 2(5)+c=12 | | -3a+15=6 | | z-1=-12 | | -3/7a=-12 | | 6.2m-4.2-6.9m=-2.6-0.7m-1.6 | | 48-x-28=7 | | 8m-5=7m+7-m | | -2x=10-6 | | 4(3-15)=12(x-15) | | 15x+7y=-25+2y | | 30x=0.05 | | -2=10-6 | | -3(2n-5)=2(-12+30) | | 33=18y-6y+9 | | 3x-9=6x-21 | | x^2+2kx-8=0 | | 6x=2x-6 | | 8x-x+1=29 | | 7/3x-8=7/3x | | (4z+1)(9+z)=0 | | 5(8x-2)=38x | | 5(3x+2)-4(2x-5)= | | -8(2w-4)=4(8-4w) | | 6(5)+4y=54 | | x^2+4x=x^2+3x+2 | | 24x+-16=x-11 | | 2(3x-2)=4(2x-6) | | 8(y-5)=10y-40 | | 12y-20=11y-9 |

Equations solver categories