2x^2-900x-107150=0

Simple and best practice solution for 2x^2-900x-107150=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^2-900x-107150=0 equation: 


Simplifying
2x2 + -900x + -107150 = 0

Reorder the terms:
-107150 + -900x + 2x2 = 0

Solving
-107150 + -900x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-53575 + -450x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-53575 + -450x + x2)' equal to zero and attempt to solve:

Simplifying
-53575 + -450x + x2 = 0

Solving
-53575 + -450x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '53575' to each side of the equation.
-53575 + -450x + 53575 + x2 = 0 + 53575

Reorder the terms:
-53575 + 53575 + -450x + x2 = 0 + 53575

Combine like terms: -53575 + 53575 = 0
0 + -450x + x2 = 0 + 53575
-450x + x2 = 0 + 53575

Combine like terms: 0 + 53575 = 53575
-450x + x2 = 53575

The x term is -450x.  Take half its coefficient (-225).
Square it (50625) and add it to both sides.

Add '50625' to each side of the equation.
-450x + 50625 + x2 = 53575 + 50625

Reorder the terms:
50625 + -450x + x2 = 53575 + 50625

Combine like terms: 53575 + 50625 = 104200
50625 + -450x + x2 = 104200

Factor a perfect square on the left side:
(x + -225)(x + -225) = 104200

Calculate the square root of the right side: 322.800247831

Break this problem into two subproblems by setting 
(x + -225) equal to 322.800247831 and -322.800247831.


Subproblem 1
x + -225 = 322.800247831

Simplifying
x + -225 = 322.800247831

Reorder the terms:
-225 + x = 322.800247831

Solving
-225 + x = 322.800247831

Solving for variable 'x'.

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

Add '225' to each side of the equation.
-225 + 225 + x = 322.800247831 + 225

Combine like terms: -225 + 225 = 0
0 + x = 322.800247831 + 225
x = 322.800247831 + 225

Combine like terms: 322.800247831 + 225 = 547.800247831
x = 547.800247831

Simplifying
x = 547.800247831


Subproblem 2
x + -225 = -322.800247831

Simplifying
x + -225 = -322.800247831

Reorder the terms:
-225 + x = -322.800247831

Solving
-225 + x = -322.800247831

Solving for variable 'x'.

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

Add '225' to each side of the equation.
-225 + 225 + x = -322.800247831 + 225

Combine like terms: -225 + 225 = 0
0 + x = -322.800247831 + 225
x = -322.800247831 + 225

Combine like terms: -322.800247831 + 225 = -97.800247831
x = -97.800247831

Simplifying
x = -97.800247831


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {547.800247831, -97.800247831}
Solution
x = {547.800247831, -97.800247831}

See similar equations:

| y=x^2+9x-7 | | 3times=45 | | (2x+5)-3=-10 | | (2x+5)-3=10 | | 5x-15-4x+12=50 | | -15.6*4.4= | | 15.1=1.15 | | x^2-450x+53575=0 | | (4x+3)= | | 10x-2=78 | | 11k=-33 | | x+(0.06x)=1 | | x-9y=11 | | x=-x^2-x+5 | | 6x(4)=24x | | -5=25 | | 0.56X=24 | | 0.56X=18 | | 6b-20=4b-27 | | X*.56=33 | | X*.56= | | 4(x+y+z)=4x+4y+4z | | 12x+12y=12(x+y) | | 5x+2=4x-3 | | (10x+9x)0=0 | | 2(x-6)-3x=-3 | | 8x+4x=4x+8x | | 9x+9=3x-21 | | 2[x+5]=5[x-4] | | -2(x+5)+9x=-17 | | 8t+11=4t+43 | | 9a+3a=12a |

Equations solver categories