2x^2-40x+50=0

Simple and best practice solution for 2x^2-40x+50=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 2x^2-40x+50=0 equation:


Simplifying
2x2 + -40x + 50 = 0

Reorder the terms:
50 + -40x + 2x2 = 0

Solving
50 + -40x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -20x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(25 + -20x + x2)' equal to zero and attempt to solve: Simplifying 25 + -20x + x2 = 0 Solving 25 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -20x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -20x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -20x + x2 = 0 + -25 -20x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -20x + x2 = -25 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -25 + 100 Reorder the terms: 100 + -20x + x2 = -25 + 100 Combine like terms: -25 + 100 = 75 100 + -20x + x2 = 75 Factor a perfect square on the left side: (x + -10)(x + -10) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (x + -10) equal to 8.660254038 and -8.660254038.

Subproblem 1

x + -10 = 8.660254038 Simplifying x + -10 = 8.660254038 Reorder the terms: -10 + x = 8.660254038 Solving -10 + x = 8.660254038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 8.660254038 + 10 Combine like terms: -10 + 10 = 0 0 + x = 8.660254038 + 10 x = 8.660254038 + 10 Combine like terms: 8.660254038 + 10 = 18.660254038 x = 18.660254038 Simplifying x = 18.660254038

Subproblem 2

x + -10 = -8.660254038 Simplifying x + -10 = -8.660254038 Reorder the terms: -10 + x = -8.660254038 Solving -10 + x = -8.660254038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = -8.660254038 + 10 Combine like terms: -10 + 10 = 0 0 + x = -8.660254038 + 10 x = -8.660254038 + 10 Combine like terms: -8.660254038 + 10 = 1.339745962 x = 1.339745962 Simplifying x = 1.339745962

Solution

The solution to the problem is based on the solutions from the subproblems. x = {18.660254038, 1.339745962}

Solution

x = {18.660254038, 1.339745962}

See similar equations:

| 93=-6k-7(k-4) | | N^3+4n^3-21n=0 | | X^2-13=-15 | | =7(2y-8)-(5y+9) | | 2x^2+4x-7=10 | | c=(f-32)5/9 | | 8j+6=10 | | 5(x+10)=5whatisx | | 4k^2+8K+7=0 | | sin(x-180)=-sinx | | 7a^2-5a-1=0 | | 2(z-5)=z+1 | | x-2y=32 | | x-9=3x | | twicex+5=-14 | | -5+3x=4x-9 | | 3(6x+1)=30 | | 3w-9=6 | | x-8=(3/4)*x | | 5(2x+3)=17 | | 3x^3+3x^2+6x+6=0 | | 0=2m-m^2+80 | | 9+4(x-9)=1-8(x-1) | | 3x+5y=746 | | 3x^3+3x^2+6x+6= | | x^3-ax^2+x-5=0 | | y=2(x+1)(x+1) | | 4+7(x-4)=2-7(x-9) | | -9(t-5)-(t+9)=2 | | 153/5/44/5= | | (10x-3y)=(5x+2y) | | 5x-4y-2z=7 |

Equations solver categories