2x^2-6x-200=0

Simple and best practice solution for 2x^2-6x-200=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^2-6x-200=0 equation:


Simplifying
2x2 + -6x + -200 = 0

Reorder the terms:
-200 + -6x + 2x2 = 0

Solving
-200 + -6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-100 + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-100 + -3x + x2)' equal to zero and attempt to solve: Simplifying -100 + -3x + x2 = 0 Solving -100 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '100' to each side of the equation. -100 + -3x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + -3x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -3x + x2 = 0 + 100 -3x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 -3x + x2 = 100 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 100 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 100 + 2.25 Combine like terms: 100 + 2.25 = 102.25 2.25 + -3x + x2 = 102.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 102.25 Calculate the square root of the right side: 10.111874208 Break this problem into two subproblems by setting (x + -1.5) equal to 10.111874208 and -10.111874208.

Subproblem 1

x + -1.5 = 10.111874208 Simplifying x + -1.5 = 10.111874208 Reorder the terms: -1.5 + x = 10.111874208 Solving -1.5 + x = 10.111874208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 10.111874208 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 10.111874208 + 1.5 x = 10.111874208 + 1.5 Combine like terms: 10.111874208 + 1.5 = 11.611874208 x = 11.611874208 Simplifying x = 11.611874208

Subproblem 2

x + -1.5 = -10.111874208 Simplifying x + -1.5 = -10.111874208 Reorder the terms: -1.5 + x = -10.111874208 Solving -1.5 + x = -10.111874208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -10.111874208 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -10.111874208 + 1.5 x = -10.111874208 + 1.5 Combine like terms: -10.111874208 + 1.5 = -8.611874208 x = -8.611874208 Simplifying x = -8.611874208

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.611874208, -8.611874208}

Solution

x = {11.611874208, -8.611874208}

See similar equations:

| w/21=17?7 | | 5k^4+22k^2-48=0 | | w/21=2^3/7 | | 4(ax^2-5x+3)=8x^2+bx+c | | -2(4t-5)+5t=6t-9 | | 11x+12+4(3x+4)= | | 3x^2-4=20-2x^2 | | X^4=x^3-6x^2 | | 4/6.25 | | x/2=7-4/3 | | Cos(36)=x/10 | | -2a=-5 | | 8cosx=1+x^2 | | (3x+5)(2x+6)= | | 3(2x+4)-2(x+1)=90 | | 36=-7y+2(y+8) | | (x^3)^1/2/x^9/2 | | x=7-4/3 | | 8r-(3r-15)=10 | | -4t-5=3b+9 | | m^3+m^2+3m-5=0 | | -4t-5=3b+8 | | 7z+2(z-12)=2(z-13)+3(2z+1) | | x^2-mx+15=0 | | 6x-18=2x-2 | | 36=7y+2(y+8) | | 2log(16+4)= | | 7.6x-2.3x=95.4 | | 12c^3-6c^2-6c=0 | | 2/7-5/9= | | 234=39-v | | 5x-2=5(x+8) |

Equations solver categories