48x^2-336x+1=0

Simple and best practice solution for 48x^2-336x+1=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 48x^2-336x+1=0 equation:


Simplifying
48x2 + -336x + 1 = 0

Reorder the terms:
1 + -336x + 48x2 = 0

Solving
1 + -336x + 48x2 = 0

Solving for variable 'x'.

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

Divide each side by '48'.
0.02083333333 + -7x + x2 = 0

Move the constant term to the right:

Add '-0.02083333333' to each side of the equation.
0.02083333333 + -7x + -0.02083333333 + x2 = 0 + -0.02083333333

Reorder the terms:
0.02083333333 + -0.02083333333 + -7x + x2 = 0 + -0.02083333333

Combine like terms: 0.02083333333 + -0.02083333333 = 0.00000000000
0.00000000000 + -7x + x2 = 0 + -0.02083333333
-7x + x2 = 0 + -0.02083333333

Combine like terms: 0 + -0.02083333333 = -0.02083333333
-7x + x2 = -0.02083333333

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -0.02083333333 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -0.02083333333 + 12.25

Combine like terms: -0.02083333333 + 12.25 = 12.22916666667
12.25 + -7x + x2 = 12.22916666667

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 12.22916666667

Calculate the square root of the right side: 3.497022543

Break this problem into two subproblems by setting 
(x + -3.5) equal to 3.497022543 and -3.497022543.

Subproblem 1

x + -3.5 = 3.497022543 Simplifying x + -3.5 = 3.497022543 Reorder the terms: -3.5 + x = 3.497022543 Solving -3.5 + x = 3.497022543 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 3.497022543 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 3.497022543 + 3.5 x = 3.497022543 + 3.5 Combine like terms: 3.497022543 + 3.5 = 6.997022543 x = 6.997022543 Simplifying x = 6.997022543

Subproblem 2

x + -3.5 = -3.497022543 Simplifying x + -3.5 = -3.497022543 Reorder the terms: -3.5 + x = -3.497022543 Solving -3.5 + x = -3.497022543 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -3.497022543 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -3.497022543 + 3.5 x = -3.497022543 + 3.5 Combine like terms: -3.497022543 + 3.5 = 0.002977457 x = 0.002977457 Simplifying x = 0.002977457

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.997022543, 0.002977457}

See similar equations:

| 0.01(700-30x)=5.4x+300 | | 8b-4=3b-4 | | Log(x)*16=5 | | -6(v+4)+3v+5=7v+12 | | 8/9-1/2(1/3y-1)=7(y-8/9) | | x^5y^7/x^4y^3 | | 7c-1b=5 | | 8s-19=5s-10 | | 5.12331233123312331233v=1.0001z | | 6x-4(8-7x)=6(x-5)+7 | | 6c=6x | | 8c=8c | | 7x(m-3n)-4y(m-3n)= | | 11x+3-4x=6x-2 | | X/-7=-20 | | 6porn=7jam | | -3+4-6x=8x+3-18x | | 2*2*22*2*22*2*22*2*2=9g | | x/(0,8-2x)^2=2 | | -879345879453897354789x=7 | | 2x+5=7x-3x+2 | | 4(0.19x+1)-4=1.03x-3.24 | | 96(x-4)-384=96x+95 | | 0.2x=64 | | A-45=13+A | | y=12(1.05)5 | | -7v+8=6-6 | | y=10(1+0.4)5 | | 4v(v+3)(v-1)=0 | | 3a+3b=2x+2y | | 18y-7y=19+5y | | 8(3x-1)=135 |

Equations solver categories