2x^2-33x-5=0

Simple and best practice solution for 2x^2-33x-5=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^2-33x-5=0 equation:


Simplifying
2x2 + -33x + -5 = 0

Reorder the terms:
-5 + -33x + 2x2 = 0

Solving
-5 + -33x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-2.5 + -16.5x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + -16.5x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + -16.5x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -16.5x + x2 = 0 + 2.5
-16.5x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
-16.5x + x2 = 2.5

The x term is -16.5x.  Take half its coefficient (-8.25).
Square it (68.0625) and add it to both sides.

Add '68.0625' to each side of the equation.
-16.5x + 68.0625 + x2 = 2.5 + 68.0625

Reorder the terms:
68.0625 + -16.5x + x2 = 2.5 + 68.0625

Combine like terms: 2.5 + 68.0625 = 70.5625
68.0625 + -16.5x + x2 = 70.5625

Factor a perfect square on the left side:
(x + -8.25)(x + -8.25) = 70.5625

Calculate the square root of the right side: 8.400148808

Break this problem into two subproblems by setting 
(x + -8.25) equal to 8.400148808 and -8.400148808.


Subproblem 1
x + -8.25 = 8.400148808

Simplifying
x + -8.25 = 8.400148808

Reorder the terms:
-8.25 + x = 8.400148808

Solving
-8.25 + x = 8.400148808

Solving for variable 'x'.

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

Add '8.25' to each side of the equation.
-8.25 + 8.25 + x = 8.400148808 + 8.25

Combine like terms: -8.25 + 8.25 = 0.00
0.00 + x = 8.400148808 + 8.25
x = 8.400148808 + 8.25

Combine like terms: 8.400148808 + 8.25 = 16.650148808
x = 16.650148808

Simplifying
x = 16.650148808


Subproblem 2
x + -8.25 = -8.400148808

Simplifying
x + -8.25 = -8.400148808

Reorder the terms:
-8.25 + x = -8.400148808

Solving
-8.25 + x = -8.400148808

Solving for variable 'x'.

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

Add '8.25' to each side of the equation.
-8.25 + 8.25 + x = -8.400148808 + 8.25

Combine like terms: -8.25 + 8.25 = 0.00
0.00 + x = -8.400148808 + 8.25
x = -8.400148808 + 8.25

Combine like terms: -8.400148808 + 8.25 = -0.150148808
x = -0.150148808

Simplifying
x = -0.150148808


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.650148808, -0.150148808}

See similar equations:

| -3-2x=55 | | y=2x^2-12x+15 | | 40=3y-8 | | 5w+13=73 | | 3tan^2x+1=2 | | 11.16+z=29.16 | | -16=-8u+6(u-3) | | 133x+19.95x=1 | | 0.03x=-39 | | y=-2.096x^2-2.25x+9.038 | | A=210+20(h+70) | | -12=-4+2y | | 14-(3x)=x+24 | | 4x=6+x+3 | | 4x=6+x+3 | | 4x^2+2y^2+3x-4y+8=0 | | 6(y+8)-8y=28 | | 4x+110=10 | | X^2+x-8=80 | | 75-y=182 | | 3x+9=75 | | 14-3(x)=x+10 | | 4+3x(2+5)= | | X-3y=-20 | | -7y+48=6(y-5) | | 9x+1=-89 | | 3(2+1)=30 | | 6x^2-10x=o | | 11x+33=66 | | -3-3(4k+2)=-(4k+3) | | 6(3)(x)2+8(x)=57(3x) | | -32=-5v+3(v-4) |

Equations solver categories