2x^2-20x-90=0

Simple and best practice solution for 2x^2-20x-90=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^2-20x-90=0 equation: 


Simplifying
2x2 + -20x + -90 = 0

Reorder the terms:
-90 + -20x + 2x2 = 0

Solving
-90 + -20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-45 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
-45 + -10x + x2 = 0

Solving
-45 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '45' to each side of the equation.
-45 + -10x + 45 + x2 = 0 + 45

Reorder the terms:
-45 + 45 + -10x + x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -10x + x2 = 0 + 45
-10x + x2 = 0 + 45

Combine like terms: 0 + 45 = 45
-10x + x2 = 45

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 45 + 25

Reorder the terms:
25 + -10x + x2 = 45 + 25

Combine like terms: 45 + 25 = 70
25 + -10x + x2 = 70

Factor a perfect square on the left side:
(x + -5)(x + -5) = 70

Calculate the square root of the right side: 8.366600265

Break this problem into two subproblems by setting 
(x + -5) equal to 8.366600265 and -8.366600265.


Subproblem 1
x + -5 = 8.366600265

Simplifying
x + -5 = 8.366600265

Reorder the terms:
-5 + x = 8.366600265

Solving
-5 + x = 8.366600265

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = 8.366600265 + 5

Combine like terms: -5 + 5 = 0
0 + x = 8.366600265 + 5
x = 8.366600265 + 5

Combine like terms: 8.366600265 + 5 = 13.366600265
x = 13.366600265

Simplifying
x = 13.366600265


Subproblem 2
x + -5 = -8.366600265

Simplifying
x + -5 = -8.366600265

Reorder the terms:
-5 + x = -8.366600265

Solving
-5 + x = -8.366600265

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x = -8.366600265 + 5

Combine like terms: -5 + 5 = 0
0 + x = -8.366600265 + 5
x = -8.366600265 + 5

Combine like terms: -8.366600265 + 5 = -3.366600265
x = -3.366600265

Simplifying
x = -3.366600265


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.366600265, -3.366600265}
Solution
x = {13.366600265, -3.366600265}

See similar equations:

| 19-(x+6)=8x-4 | | 7(2t+4)= | | 6=6p-7-5p | | 3g+4(-7+2g)=1-g | | 48m^5nt^4/8m^7n^3t | | 5(2y-3)=30 | | log(x)-1=-log(x+9) | | -7(-5+3j)= | | 9x+10=2x+3 | | 0.5y^3*10x^3y^2*5x-15= | | 6x=8+17x | | 157-x=240 | | 5x=-.75x-.25 | | x^2-10x+25=0andy^2-20y+100 | | x+.5x=8.33 | | 2x^2+4y^2=0 | | 3x+y=6graph | | -3(5+5b)-7b=-191 | | (2b+18)+(5b+6)+19b=180 | | x/4-5=3/8 | | -1/4n=7 | | 6+6z=-8-8z | | 6(-7+u)= | | x(t)=5e^3(t) | | 21-6x=3y | | -2v+2=9v^2 | | 9(-3d+7)= | | kp^2+zp+d=0 | | 2(-3-8m)=-134 | | -5+6x=85 | | -10x=-9x+3 | | 4=b |

Equations solver categories