5w^2-5w+1=0

Simple and best practice solution for 5w^2-5w+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 5w^2-5w+1=0 equation:


Simplifying
5w2 + -5w + 1 = 0

Reorder the terms:
1 + -5w + 5w2 = 0

Solving
1 + -5w + 5w2 = 0

Solving for variable 'w'.

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

Divide each side by '5'.
0.2 + -1w + w2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -1w + -0.2 + w2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -1w + w2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -1w + w2 = 0 + -0.2
-1w + w2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-1w + w2 = -0.2

The w term is -1w.  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.
-1w + 0.25 + w2 = -0.2 + 0.25

Reorder the terms:
0.25 + -1w + w2 = -0.2 + 0.25

Combine like terms: -0.2 + 0.25 = 0.05
0.25 + -1w + w2 = 0.05

Factor a perfect square on the left side:
(w + -0.5)(w + -0.5) = 0.05

Calculate the square root of the right side: 0.223606798

Break this problem into two subproblems by setting 
(w + -0.5) equal to 0.223606798 and -0.223606798.

Subproblem 1

w + -0.5 = 0.223606798 Simplifying w + -0.5 = 0.223606798 Reorder the terms: -0.5 + w = 0.223606798 Solving -0.5 + w = 0.223606798 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = 0.223606798 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = 0.223606798 + 0.5 w = 0.223606798 + 0.5 Combine like terms: 0.223606798 + 0.5 = 0.723606798 w = 0.723606798 Simplifying w = 0.723606798

Subproblem 2

w + -0.5 = -0.223606798 Simplifying w + -0.5 = -0.223606798 Reorder the terms: -0.5 + w = -0.223606798 Solving -0.5 + w = -0.223606798 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = -0.223606798 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = -0.223606798 + 0.5 w = -0.223606798 + 0.5 Combine like terms: -0.223606798 + 0.5 = 0.276393202 w = 0.276393202 Simplifying w = 0.276393202

Solution

The solution to the problem is based on the solutions from the subproblems. w = {0.723606798, 0.276393202}

See similar equations:

| -4(2p+4)-38=3(4p+2) | | (3/p)=(5/14) | | 2(x+3)+x=-9 | | 12y^2+3y+10=0 | | (2-w)(3w+1)=0 | | t^2-1/25=0 | | 9-8n+4n=17-76 | | 2(6x-1)=48 | | 3p^2+9p+5=0 | | 9x+13=-44+6x | | (3x-2)(x+8)= | | 3(3x-1)=5(2x+2) | | 16x^2+240x=0 | | -9x+17=8 | | -82+9y+7=3(5y-5)-6 | | -2x-4(x-5)=-46 | | 11x=-x^2+24 | | 8=8v-4v+8 | | x-3(x-5)=11 | | 1/2x+3/5=30 | | 3x-11+3x=4+6x-14 | | 9Q^2-54Q+120= | | -2(5t-5)+4t=8t-3 | | 3x+9x-(5x+9)= | | 3x+2=7x-1 | | 6(8x+6)=48x-2 | | .92n-124=.3n | | (8x-5)-4=9(x+7) | | 4.5+q=9.5 | | uq+up=t | | Y-1/5(2-5y)=-37/5-5y | | 5+4x-12=30 |

Equations solver categories