2x^2-4x-120=0

Simple and best practice solution for 2x^2-4x-120=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^2-4x-120=0 equation:


Simplifying
2x2 + -4x + -120 = 0

Reorder the terms:
-120 + -4x + 2x2 = 0

Solving
-120 + -4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-60 + -2x + x2)' equal to zero and attempt to solve: Simplifying -60 + -2x + x2 = 0 Solving -60 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '60' to each side of the equation. -60 + -2x + 60 + x2 = 0 + 60 Reorder the terms: -60 + 60 + -2x + x2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -2x + x2 = 0 + 60 -2x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 -2x + x2 = 60 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 = 60 + 1 Reorder the terms: 1 + -2x + x2 = 60 + 1 Combine like terms: 60 + 1 = 61 1 + -2x + x2 = 61 Factor a perfect square on the left side: (x + -1)(x + -1) = 61 Calculate the square root of the right side: 7.810249676 Break this problem into two subproblems by setting (x + -1) equal to 7.810249676 and -7.810249676.

Subproblem 1

x + -1 = 7.810249676 Simplifying x + -1 = 7.810249676 Reorder the terms: -1 + x = 7.810249676 Solving -1 + x = 7.810249676 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 = 7.810249676 + 1 Combine like terms: -1 + 1 = 0 0 + x = 7.810249676 + 1 x = 7.810249676 + 1 Combine like terms: 7.810249676 + 1 = 8.810249676 x = 8.810249676 Simplifying x = 8.810249676

Subproblem 2

x + -1 = -7.810249676 Simplifying x + -1 = -7.810249676 Reorder the terms: -1 + x = -7.810249676 Solving -1 + x = -7.810249676 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 = -7.810249676 + 1 Combine like terms: -1 + 1 = 0 0 + x = -7.810249676 + 1 x = -7.810249676 + 1 Combine like terms: -7.810249676 + 1 = -6.810249676 x = -6.810249676 Simplifying x = -6.810249676

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.810249676, -6.810249676}

Solution

x = {8.810249676, -6.810249676}

See similar equations:

| f^2+8f^2= | | 2(x^2-16)+15x=-9x-8 | | x^2+y^2-12x+2y+24=0 | | 7x-5(8x-6)=-5(7x-8) | | 2sin(4x)=1 | | x(x(x)+(2x(78)x))=x | | 100-(x*.50)=x | | x+(x*.50)=60 | | -2(x+1)=3 | | x+(x*.50)=100 | | 8+17x=297 | | 23-2x-7=5x-3x | | x-39=9x+9 | | 16i+5=20i-2 | | 6x-(x-(x-4))=3x+2 | | 8p-30=4p | | 2(x+4)=8x-28 | | x-39=9x+9+39 | | -23=(-2a)-10+a | | 39p^3-13p^2+26=0 | | 7d+8d= | | -23=-21-10+a | | -4n-3.2m=18.7 | | 30x^2-3x^2-9x=0 | | -25+n=-9 | | -20x^2+16x=o | | 4p+6p+8p-7= | | X-(2+3y)=0 | | 8n+3n+6n-1= | | =-9(4a-5)(4a+5) | | -2x+8=6-(9p+3) | | 9b^2+18b-24=0 |

Equations solver categories