1.9x^2-5.7x+3.8=x^2

Simple and best practice solution for 1.9x^2-5.7x+3.8=x^2 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 1.9x^2-5.7x+3.8=x^2 equation: 


Simplifying
1.9x2 + -5.7x + 3.8 = x2

Reorder the terms:
3.8 + -5.7x + 1.9x2 = x2

Solving
3.8 + -5.7x + 1.9x2 = x2

Solving for variable 'x'.

Combine like terms: 1.9x2 + -1x2 = 0.9x2
3.8 + -5.7x + 0.9x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3.8 + -5.7x + 0.9x2 = 0

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

Divide each side by '0.9'.
4.222222222 + -6.333333333x + x2 = 0

Move the constant term to the right:

Add '-4.222222222' to each side of the equation.
4.222222222 + -6.333333333x + -4.222222222 + x2 = 0 + -4.222222222

Reorder the terms:
4.222222222 + -4.222222222 + -6.333333333x + x2 = 0 + -4.222222222

Combine like terms: 4.222222222 + -4.222222222 = 0.000000000
0.000000000 + -6.333333333x + x2 = 0 + -4.222222222
-6.333333333x + x2 = 0 + -4.222222222

Combine like terms: 0 + -4.222222222 = -4.222222222
-6.333333333x + x2 = -4.222222222

The x term is -6.333333333x.  Take half its coefficient (-3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
-6.333333333x + 10.02777778 + x2 = -4.222222222 + 10.02777778

Reorder the terms:
10.02777778 + -6.333333333x + x2 = -4.222222222 + 10.02777778

Combine like terms: -4.222222222 + 10.02777778 = 5.805555558
10.02777778 + -6.333333333x + x2 = 5.805555558

Factor a perfect square on the left side:
(x + -3.166666667)(x + -3.166666667) = 5.805555558

Calculate the square root of the right side: 2.40947205

Break this problem into two subproblems by setting 
(x + -3.166666667) equal to 2.40947205 and -2.40947205.


Subproblem 1
x + -3.166666667 = 2.40947205

Simplifying
x + -3.166666667 = 2.40947205

Reorder the terms:
-3.166666667 + x = 2.40947205

Solving
-3.166666667 + x = 2.40947205

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = 2.40947205 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = 2.40947205 + 3.166666667
x = 2.40947205 + 3.166666667

Combine like terms: 2.40947205 + 3.166666667 = 5.576138717
x = 5.576138717

Simplifying
x = 5.576138717


Subproblem 2
x + -3.166666667 = -2.40947205

Simplifying
x + -3.166666667 = -2.40947205

Reorder the terms:
-3.166666667 + x = -2.40947205

Solving
-3.166666667 + x = -2.40947205

Solving for variable 'x'.

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

Add '3.166666667' to each side of the equation.
-3.166666667 + 3.166666667 + x = -2.40947205 + 3.166666667

Combine like terms: -3.166666667 + 3.166666667 = 0.000000000
0.000000000 + x = -2.40947205 + 3.166666667
x = -2.40947205 + 3.166666667

Combine like terms: -2.40947205 + 3.166666667 = 0.757194617
x = 0.757194617

Simplifying
x = 0.757194617


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.576138717, 0.757194617}

See similar equations:

| (4x-3)(6+x)=0 | | 260(0.135)/298=140(0.79)/t2 | | x/7-18/7x=-1 | | g(x)=x^3-5x^2+x+7 | | 5m-6(m-4)= | | -5=-5/2-a | | 3(3+r)=2+4 | | -5=-8--3/2-a | | 4-10-12+2= | | 8p+3r=q | | -4=-1/3x | | 2x-4=00 | | 8x^2+8x-33=0 | | 9=3--6/q--1 | | 120y^2-60y=0 | | -3x-15=-3x-3 | | 4(12)-7+2(12)-9= | | 1.9(X^2-3X+2)=X^2 | | 9=9/q--1 | | 12(-2)+6+-2+10= | | 12(-2)+6+-1+10= | | x^2-8.4x+4.2=0 | | y-8=-0.3x(x-3) | | (m-3)-[n+6-(2m-5n+10)]= | | 3x/3=78/3 | | 5x+6=-22-2 | | 7t=-6+8t | | 10y=18+y | | 12(-2)+6+1+10= | | -8+6p=5p | | y^7=15 | | 5+9w=8w |

Equations solver categories