2x^2-106x-480=0

Simple and best practice solution for 2x^2-106x-480=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^2-106x-480=0 equation: 


Simplifying
2x2 + -106x + -480 = 0

Reorder the terms:
-480 + -106x + 2x2 = 0

Solving
-480 + -106x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-240 + -53x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-240 + -53x + x2)' equal to zero and attempt to solve:

Simplifying
-240 + -53x + x2 = 0

Solving
-240 + -53x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '240' to each side of the equation.
-240 + -53x + 240 + x2 = 0 + 240

Reorder the terms:
-240 + 240 + -53x + x2 = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -53x + x2 = 0 + 240
-53x + x2 = 0 + 240

Combine like terms: 0 + 240 = 240
-53x + x2 = 240

The x term is -53x.  Take half its coefficient (-26.5).
Square it (702.25) and add it to both sides.

Add '702.25' to each side of the equation.
-53x + 702.25 + x2 = 240 + 702.25

Reorder the terms:
702.25 + -53x + x2 = 240 + 702.25

Combine like terms: 240 + 702.25 = 942.25
702.25 + -53x + x2 = 942.25

Factor a perfect square on the left side:
(x + -26.5)(x + -26.5) = 942.25

Calculate the square root of the right side: 30.696090956

Break this problem into two subproblems by setting 
(x + -26.5) equal to 30.696090956 and -30.696090956.


Subproblem 1
x + -26.5 = 30.696090956

Simplifying
x + -26.5 = 30.696090956

Reorder the terms:
-26.5 + x = 30.696090956

Solving
-26.5 + x = 30.696090956

Solving for variable 'x'.

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

Add '26.5' to each side of the equation.
-26.5 + 26.5 + x = 30.696090956 + 26.5

Combine like terms: -26.5 + 26.5 = 0.0
0.0 + x = 30.696090956 + 26.5
x = 30.696090956 + 26.5

Combine like terms: 30.696090956 + 26.5 = 57.196090956
x = 57.196090956

Simplifying
x = 57.196090956


Subproblem 2
x + -26.5 = -30.696090956

Simplifying
x + -26.5 = -30.696090956

Reorder the terms:
-26.5 + x = -30.696090956

Solving
-26.5 + x = -30.696090956

Solving for variable 'x'.

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

Add '26.5' to each side of the equation.
-26.5 + 26.5 + x = -30.696090956 + 26.5

Combine like terms: -26.5 + 26.5 = 0.0
0.0 + x = -30.696090956 + 26.5
x = -30.696090956 + 26.5

Combine like terms: -30.696090956 + 26.5 = -4.196090956
x = -4.196090956

Simplifying
x = -4.196090956


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {57.196090956, -4.196090956}
Solution
x = {57.196090956, -4.196090956}

See similar equations:

| 3056890000-150000000x=2085000000+5550000x | | h=-16t^2+80t+800 | | x^2+24x-217=0 | | 81-3x=9-7x | | 2x+33=11x-58 | | 3/5=x/24 | | -10-3x=17 | | -6-6x=-18 | | 8y^2-14y+3=0 | | 1000a^3+27=0 | | 20z^3-19z^2+3z=0 | | 12z^3-13z^2+3z=0 | | -12+9=-63 | | 32+9y=5t | | 5-2p=1 | | 15y^2+7y-4=0 | | 3x-17=5y | | 2x^2+3y=16 | | 9y-5=7y+1 | | 5y-17y=-69-87 | | 54r^2=21r+20 | | 3x-55=7x | | 7x-5y=-1 | | sqrt(t)+2=sqrt(t+13) | | 4+2n=8 | | 5x+(2x-3)=27 | | (-17/4)(-17/4) | | 5(2c-1)-4=8c+9 | | [(6r+7d)+3][(6r+7d)-3]= | | 3p+5w=9 | | p+2w=4 | | 6w-4=-3w+6 |

Equations solver categories