6x^2-22x+8=0

Simple and best practice solution for 6x^2-22x+8=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^2-22x+8=0 equation:


Simplifying
6x2 + -22x + 8 = 0

Reorder the terms:
8 + -22x + 6x2 = 0

Solving
8 + -22x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -11x + 3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -11x + 3x2)' equal to zero and attempt to solve: Simplifying 4 + -11x + 3x2 = 0 Solving 4 + -11x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + -3.666666667x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + -3.666666667x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + -3.666666667x + x2 = 0 + -1.333333333 -3.666666667x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 -3.666666667x + x2 = -1.333333333 The x term is -3.666666667x. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667x + 3.361111114 + x2 = -1.333333333 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -1.333333333 + 3.361111114 Combine like terms: -1.333333333 + 3.361111114 = 2.027777781 3.361111114 + -3.666666667x + x2 = 2.027777781 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = 2.027777781 Calculate the square root of the right side: 1.424000625 Break this problem into two subproblems by setting (x + -1.833333334) equal to 1.424000625 and -1.424000625.

Subproblem 1

x + -1.833333334 = 1.424000625 Simplifying x + -1.833333334 = 1.424000625 Reorder the terms: -1.833333334 + x = 1.424000625 Solving -1.833333334 + x = 1.424000625 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x = 1.424000625 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x = 1.424000625 + 1.833333334 x = 1.424000625 + 1.833333334 Combine like terms: 1.424000625 + 1.833333334 = 3.257333959 x = 3.257333959 Simplifying x = 3.257333959

Subproblem 2

x + -1.833333334 = -1.424000625 Simplifying x + -1.833333334 = -1.424000625 Reorder the terms: -1.833333334 + x = -1.424000625 Solving -1.833333334 + x = -1.424000625 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x = -1.424000625 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x = -1.424000625 + 1.833333334 x = -1.424000625 + 1.833333334 Combine like terms: -1.424000625 + 1.833333334 = 0.409332709 x = 0.409332709 Simplifying x = 0.409332709

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.257333959, 0.409332709}

Solution

x = {3.257333959, 0.409332709}

See similar equations:

| X=18+4X+5 | | 22+9=1 | | -32j/3-6-6z | | 2x-2/7x=x/2+17/2 | | X=2(3X+4X+4+4) | | 5/6x+7/9-2/7x | | Logx=22 | | X=2(3X+4) | | 3(x-4)=5x-6x | | 8y^2-4y+7=0 | | 3x-10x-3x=-26 | | 0,5*x+4=x | | 40=20t+t^2 | | 0=-70+40t+5t^2 | | 0=-70 | | 5x^1/5*6x^1/3 | | 6x-12=33+3x-12 | | -3(3y-8)-y=-4(y-4) | | 37x+5=6(6x+3) | | 2x-7x+6=x-5+11 | | y=-16x^2+35x+20 | | 9n-26=-18+5n | | m-2.4=5.3 | | f(x)=x^3-4x^2+4x-16 | | 0.132/0.22 | | -12x^2+11x-3=0 | | 11-4=7+14h | | 394.98/0.026 | | 8x-24=18+x | | 347.94/8 | | 70=40t+5t^2 | | 4h=45min |

Equations solver categories