2x^2-12x-50=0

Simple and best practice solution for 2x^2-12x-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^2-12x-50=0 equation: 


Simplifying
2x2 + -12x + -50 = 0

Reorder the terms:
-50 + -12x + 2x2 = 0

Solving
-50 + -12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + -6x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
-25 + -6x + x2 = 0

Solving
-25 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + -6x + 25 + x2 = 0 + 25

Reorder the terms:
-25 + 25 + -6x + x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6x + x2 = 0 + 25
-6x + x2 = 0 + 25

Combine like terms: 0 + 25 = 25
-6x + x2 = 25

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 25 + 9

Reorder the terms:
9 + -6x + x2 = 25 + 9

Combine like terms: 25 + 9 = 34
9 + -6x + x2 = 34

Factor a perfect square on the left side:
(x + -3)(x + -3) = 34

Calculate the square root of the right side: 5.830951895

Break this problem into two subproblems by setting 
(x + -3) equal to 5.830951895 and -5.830951895.


Subproblem 1
x + -3 = 5.830951895

Simplifying
x + -3 = 5.830951895

Reorder the terms:
-3 + x = 5.830951895

Solving
-3 + x = 5.830951895

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = 5.830951895 + 3

Combine like terms: -3 + 3 = 0
0 + x = 5.830951895 + 3
x = 5.830951895 + 3

Combine like terms: 5.830951895 + 3 = 8.830951895
x = 8.830951895

Simplifying
x = 8.830951895


Subproblem 2
x + -3 = -5.830951895

Simplifying
x + -3 = -5.830951895

Reorder the terms:
-3 + x = -5.830951895

Solving
-3 + x = -5.830951895

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + x = -5.830951895 + 3

Combine like terms: -3 + 3 = 0
0 + x = -5.830951895 + 3
x = -5.830951895 + 3

Combine like terms: -5.830951895 + 3 = -2.830951895
x = -2.830951895

Simplifying
x = -2.830951895


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {8.830951895, -2.830951895}
Solution
x = {8.830951895, -2.830951895}

See similar equations:

| 9(2+y)=8(9+y) | | -8x-8=4x-44 | | M+(-2)=-21 | | -4x^2=18x+18 | | 8x+64=7x+55 | | 6tan(x)+5=4 | | -6=-20-x | | (x+2)2-12=0 | | 42=-7n | | f(x)=2x^2+8+9 | | 5(x-3)(4x+9)=0 | | 6b+8=2b+32 | | 18y-11y=56 | | X-(-6)=16 | | ln(x+7)-ln(x-8)=ln(x) | | 8x-16y=32 | | 4x-8+3x=180 | | -x+14=9 | | 9(x-9)(2x+9)=0 | | xy-3x+4y-12=0 | | -97=4(19-2x)+3 | | -20=-15+a | | 14b=-280 | | s=-1+63t | | -a=24-17 | | s=79t-1+-16t | | 27=18+r | | 6(x+5)-9=28-2x-7+8x | | 7x-2+6x=180 | | s(t)=79-16t^2 | | (3x+3)+x+85=180 | | x+-18=35 |

Equations solver categories