4x^2-8x+2=0

Simple and best practice solution for 4x^2-8x+2=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 4x^2-8x+2=0 equation:


Simplifying
4x2 + -8x + 2 = 0

Reorder the terms:
2 + -8x + 4x2 = 0

Solving
2 + -8x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -4x + 2x2)' equal to zero and attempt to solve: Simplifying 1 + -4x + 2x2 = 0 Solving 1 + -4x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + -2x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -2x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -2x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2x + x2 = 0 + -0.5 -2x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -2x + x2 = -0.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -0.5 + 1 Reorder the terms: 1 + -2x + x2 = -0.5 + 1 Combine like terms: -0.5 + 1 = 0.5 1 + -2x + x2 = 0.5 Factor a perfect square on the left side: (x + -1)(x + -1) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (x + -1) equal to 0.707106781 and -0.707106781.

Subproblem 1

x + -1 = 0.707106781 Simplifying x + -1 = 0.707106781 Reorder the terms: -1 + x = 0.707106781 Solving -1 + x = 0.707106781 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0.707106781 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0.707106781 + 1 x = 0.707106781 + 1 Combine like terms: 0.707106781 + 1 = 1.707106781 x = 1.707106781 Simplifying x = 1.707106781

Subproblem 2

x + -1 = -0.707106781 Simplifying x + -1 = -0.707106781 Reorder the terms: -1 + x = -0.707106781 Solving -1 + x = -0.707106781 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -0.707106781 + 1 Combine like terms: -1 + 1 = 0 0 + x = -0.707106781 + 1 x = -0.707106781 + 1 Combine like terms: -0.707106781 + 1 = 0.292893219 x = 0.292893219 Simplifying x = 0.292893219

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.707106781, 0.292893219}

Solution

x = {1.707106781, 0.292893219}

See similar equations:

| 5z-14z= | | 8x-2-5x=8 | | 9x-28=15x+14 | | x^5+4x^4-8x^3-10x^2+23x-10=0 | | -2(x+2)+3x=12 | | 3p-7+22=2 | | 2m+7m=45 | | 0.50x+0.35(50)=29.5 | | 12x-7=8x+19 | | 3t-5=16 | | 6q=48 | | a+8=-12 | | 0.72(n-10)=64 | | (x-8)(x+8)=0 | | h+9-5=60 | | -8d-9=-3(d+5)-5d | | -8d-9=3(d+3)-5d | | 9(d+5)=3(d-3)+6d | | 9(x+2)=45 | | 0.20x+0.45(70)=36.5 | | s-1=3 | | 8x-1=8(x-4) | | 3z-11-z+5=0 | | 4(2c+6)-2c=90 | | 169-5x=22x+22 | | (y-5)(y-7)=0 | | -119-7x=7x+21 | | y=-3x+2 | | 6(g+3)=-2(g+12) | | 10-9x=170-44x | | 3x^2+3x=0 | | 4(y+10)+y=2(y+5)-8 |

Equations solver categories