.45x^2-2.05x-1=0

Simple and best practice solution for .45x^2-2.05x-1=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 .45x^2-2.05x-1=0 equation: 


Simplifying
0.45x2 + -2.05x + -1 = 0

Reorder the terms:
-1 + -2.05x + 0.45x2 = 0

Solving
-1 + -2.05x + 0.45x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.45'.
-2.222222222 + -4.555555556x + x2 = 0

Move the constant term to the right:

Add '2.222222222' to each side of the equation.
-2.222222222 + -4.555555556x + 2.222222222 + x2 = 0 + 2.222222222

Reorder the terms:
-2.222222222 + 2.222222222 + -4.555555556x + x2 = 0 + 2.222222222

Combine like terms: -2.222222222 + 2.222222222 = 0.000000000
0.000000000 + -4.555555556x + x2 = 0 + 2.222222222
-4.555555556x + x2 = 0 + 2.222222222

Combine like terms: 0 + 2.222222222 = 2.222222222
-4.555555556x + x2 = 2.222222222

The x term is -4.555555556x.  Take half its coefficient (-2.277777778).
Square it (5.188271606) and add it to both sides.

Add '5.188271606' to each side of the equation.
-4.555555556x + 5.188271606 + x2 = 2.222222222 + 5.188271606

Reorder the terms:
5.188271606 + -4.555555556x + x2 = 2.222222222 + 5.188271606

Combine like terms: 2.222222222 + 5.188271606 = 7.410493828
5.188271606 + -4.555555556x + x2 = 7.410493828

Factor a perfect square on the left side:
(x + -2.277777778)(x + -2.277777778) = 7.410493828

Calculate the square root of the right side: 2.722222222

Break this problem into two subproblems by setting 
(x + -2.277777778) equal to 2.722222222 and -2.722222222.


Subproblem 1
x + -2.277777778 = 2.722222222

Simplifying
x + -2.277777778 = 2.722222222

Reorder the terms:
-2.277777778 + x = 2.722222222

Solving
-2.277777778 + x = 2.722222222

Solving for variable 'x'.

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

Add '2.277777778' to each side of the equation.
-2.277777778 + 2.277777778 + x = 2.722222222 + 2.277777778

Combine like terms: -2.277777778 + 2.277777778 = 0.000000000
0.000000000 + x = 2.722222222 + 2.277777778
x = 2.722222222 + 2.277777778

Combine like terms: 2.722222222 + 2.277777778 = 5
x = 5

Simplifying
x = 5


Subproblem 2
x + -2.277777778 = -2.722222222

Simplifying
x + -2.277777778 = -2.722222222

Reorder the terms:
-2.277777778 + x = -2.722222222

Solving
-2.277777778 + x = -2.722222222

Solving for variable 'x'.

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

Add '2.277777778' to each side of the equation.
-2.277777778 + 2.277777778 + x = -2.722222222 + 2.277777778

Combine like terms: -2.277777778 + 2.277777778 = 0.000000000
0.000000000 + x = -2.722222222 + 2.277777778
x = -2.722222222 + 2.277777778

Combine like terms: -2.722222222 + 2.277777778 = -0.444444444
x = -0.444444444

Simplifying
x = -0.444444444


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5, -0.444444444}

See similar equations:

| x^2-3x-7=0 | | -4z+12=2(6-2z) | | x^2+x+7=0 | | x^2+2+7=0 | | 6(3p-3)=18p-5 | | x-3x+3=5+2 | | 45x+34=15x-26 | | 2.4z+1.2z-6.5=0.7 | | y=11x^2-19x-6 | | 4x+6-x=3x+6 | | 2(2x-4)+8=4x | | 7y=33-4tx | | 2(2x-4)+8= | | 8t-6=5t+11+3t | | x*x*x*x+81=0 | | x*x*x*x+81= | | 45+6x=303 | | 4(x-5)=9-2(x+1) | | x^2-8ix-5ix^2=0 | | x*5+1=7 | | 5x(2-5x)=15 | | 4y^2+18y-10=0 | | 27j-6=14j | | 2(k+5)=3k | | x(-3a-2b)=4b^2-9a^2 | | 18=5p+3 | | 11x+12=9x-9 | | 8n-(2n+5)=25 | | 40.28=8g+3.96 | | 3a(3ax-x)=2b(x+2b) | | 5(x-3)=-4x+93 | | 1.58g-7=0.11 |

Equations solver categories