64x^2-64x+9=0

Simple and best practice solution for 64x^2-64x+9=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 64x^2-64x+9=0 equation:


Simplifying
64x2 + -64x + 9 = 0

Reorder the terms:
9 + -64x + 64x2 = 0

Solving
9 + -64x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
0.140625 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.140625' to each side of the equation.
0.140625 + -1x + -0.140625 + x2 = 0 + -0.140625

Reorder the terms:
0.140625 + -0.140625 + -1x + x2 = 0 + -0.140625

Combine like terms: 0.140625 + -0.140625 = 0.000000
0.000000 + -1x + x2 = 0 + -0.140625
-1x + x2 = 0 + -0.140625

Combine like terms: 0 + -0.140625 = -0.140625
-1x + x2 = -0.140625

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -0.140625 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.140625 + 0.25

Combine like terms: -0.140625 + 0.25 = 0.109375
0.25 + -1x + x2 = 0.109375

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.109375

Calculate the square root of the right side: 0.330718914

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.330718914 and -0.330718914.

Subproblem 1

x + -0.5 = 0.330718914 Simplifying x + -0.5 = 0.330718914 Reorder the terms: -0.5 + x = 0.330718914 Solving -0.5 + x = 0.330718914 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 0.330718914 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 0.330718914 + 0.5 x = 0.330718914 + 0.5 Combine like terms: 0.330718914 + 0.5 = 0.830718914 x = 0.830718914 Simplifying x = 0.830718914

Subproblem 2

x + -0.5 = -0.330718914 Simplifying x + -0.5 = -0.330718914 Reorder the terms: -0.5 + x = -0.330718914 Solving -0.5 + x = -0.330718914 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -0.330718914 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -0.330718914 + 0.5 x = -0.330718914 + 0.5 Combine like terms: -0.330718914 + 0.5 = 0.169281086 x = 0.169281086 Simplifying x = 0.169281086

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.830718914, 0.169281086}

See similar equations:

| (5x^2+2)(2x-4)= | | x*x*x=27 | | x*x*x=0 | | (a+2)(a^2-5a+5)= | | n^2+8n-5=0 | | -2(-2)+2y=8 | | (6)+8=(6)+10 | | 5y+36=-4y-9 | | 6x+8=x+10 | | 1.25x+42=-4+3x+12 | | -5(-w-8)= | | 2x-2=11x-68 | | (11y+7)(y-4)= | | 16+.30m=22+.06m | | x+8=x+10 | | b^2-6b+4=0 | | 40n=60(120-n) | | 2x+4y-5x-2y= | | 12m+3=63 | | 0=x^2-x-6 | | 0=-x^2-5x-10 | | 40n=60(120+n) | | -2(8c+6)= | | 24-3(6-3x)=-x | | 23=4a-5 | | 2x+33=12x-17 | | -(7y+2)-(-6y-3)=-1 | | 30+6h=54 | | 5x^2-16x+15=0 | | 10x^2+21=47x-10x^2 | | 2a^3b-50ab^3=0 | | 5c+6=-29 |

Equations solver categories