2x^2-20x-18=0

Simple and best practice solution for 2x^2-20x-18=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-18=0 equation:


Simplifying
2x2 + -20x + -18 = 0

Reorder the terms:
-18 + -20x + 2x2 = 0

Solving
-18 + -20x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -10x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -10x + x2)' equal to zero and attempt to solve:

Simplifying
-9 + -10x + x2 = 0

Solving
-9 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + -10x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + -10x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10x + x2 = 0 + 9
-10x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
-10x + x2 = 9

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 = 9 + 25

Reorder the terms:
25 + -10x + x2 = 9 + 25

Combine like terms: 9 + 25 = 34
25 + -10x + x2 = 34

Factor a perfect square on the left side:
(x + -5)(x + -5) = 34

Calculate the square root of the right side: 5.830951895

Break this problem into two subproblems by setting 
(x + -5) equal to 5.830951895 and -5.830951895.


Subproblem 1
x + -5 = 5.830951895

Simplifying
x + -5 = 5.830951895

Reorder the terms:
-5 + x = 5.830951895

Solving
-5 + x = 5.830951895

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 = 5.830951895 + 5

Combine like terms: -5 + 5 = 0
0 + x = 5.830951895 + 5
x = 5.830951895 + 5

Combine like terms: 5.830951895 + 5 = 10.830951895
x = 10.830951895

Simplifying
x = 10.830951895


Subproblem 2
x + -5 = -5.830951895

Simplifying
x + -5 = -5.830951895

Reorder the terms:
-5 + x = -5.830951895

Solving
-5 + x = -5.830951895

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 = -5.830951895 + 5

Combine like terms: -5 + 5 = 0
0 + x = -5.830951895 + 5
x = -5.830951895 + 5

Combine like terms: -5.830951895 + 5 = -0.830951895
x = -0.830951895

Simplifying
x = -0.830951895


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.830951895, -0.830951895}
Solution
x = {10.830951895, -0.830951895}

See similar equations:

| 0.4+x= | | 3x^2-16=0 | | 5(4x-8)+3(2x+2)=20 | | 18-14y=-10 | | 2x^2-20x-21=0 | | 18-22y=-10 | | -4x+7=37 | | 0.33p+7=12-0.67p | | -3x+1=-20 | | 224-31y=7 | | 224-35y+4y=7 | | 58-2x=0 | | (12-x)*4=3x | | 78=5w-17 | | X*X-3X+2=0 | | 4x^2+20x=144 | | -12-6+15=-33 | | 2x-4y=18 | | -9-6=9x+4-8x | | -19y=-33 | | -12-7y=133 | | -12-12+5y=-33 | | 36+x=66 | | 54+x=120 | | -23y= | | cos^2x+cosx=0 | | -15x+12y= | | x^2-x=o | | 8+y=10 | | (x-4)(4x-7)=0 | | 1+y=9 | | 2.1p=-0.84 |

Equations solver categories