7x^2-19x+6=3

Simple and best practice solution for 7x^2-19x+6=3 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 7x^2-19x+6=3 equation:


Simplifying
7x2 + -19x + 6 = 3

Reorder the terms:
6 + -19x + 7x2 = 3

Solving
6 + -19x + 7x2 = 3

Solving for variable 'x'.

Reorder the terms:
6 + -3 + -19x + 7x2 = 3 + -3

Combine like terms: 6 + -3 = 3
3 + -19x + 7x2 = 3 + -3

Combine like terms: 3 + -3 = 0
3 + -19x + 7x2 = 0

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

Divide each side by '7'.
0.4285714286 + -2.714285714x + x2 = 0

Move the constant term to the right:

Add '-0.4285714286' to each side of the equation.
0.4285714286 + -2.714285714x + -0.4285714286 + x2 = 0 + -0.4285714286

Reorder the terms:
0.4285714286 + -0.4285714286 + -2.714285714x + x2 = 0 + -0.4285714286

Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000
0.0000000000 + -2.714285714x + x2 = 0 + -0.4285714286
-2.714285714x + x2 = 0 + -0.4285714286

Combine like terms: 0 + -0.4285714286 = -0.4285714286
-2.714285714x + x2 = -0.4285714286

The x term is -2.714285714x.  Take half its coefficient (-1.357142857).
Square it (1.841836734) and add it to both sides.

Add '1.841836734' to each side of the equation.
-2.714285714x + 1.841836734 + x2 = -0.4285714286 + 1.841836734

Reorder the terms:
1.841836734 + -2.714285714x + x2 = -0.4285714286 + 1.841836734

Combine like terms: -0.4285714286 + 1.841836734 = 1.4132653054
1.841836734 + -2.714285714x + x2 = 1.4132653054

Factor a perfect square on the left side:
(x + -1.357142857)(x + -1.357142857) = 1.4132653054

Calculate the square root of the right side: 1.188808355

Break this problem into two subproblems by setting 
(x + -1.357142857) equal to 1.188808355 and -1.188808355.

Subproblem 1

x + -1.357142857 = 1.188808355 Simplifying x + -1.357142857 = 1.188808355 Reorder the terms: -1.357142857 + x = 1.188808355 Solving -1.357142857 + x = 1.188808355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.357142857' to each side of the equation. -1.357142857 + 1.357142857 + x = 1.188808355 + 1.357142857 Combine like terms: -1.357142857 + 1.357142857 = 0.000000000 0.000000000 + x = 1.188808355 + 1.357142857 x = 1.188808355 + 1.357142857 Combine like terms: 1.188808355 + 1.357142857 = 2.545951212 x = 2.545951212 Simplifying x = 2.545951212

Subproblem 2

x + -1.357142857 = -1.188808355 Simplifying x + -1.357142857 = -1.188808355 Reorder the terms: -1.357142857 + x = -1.188808355 Solving -1.357142857 + x = -1.188808355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.357142857' to each side of the equation. -1.357142857 + 1.357142857 + x = -1.188808355 + 1.357142857 Combine like terms: -1.357142857 + 1.357142857 = 0.000000000 0.000000000 + x = -1.188808355 + 1.357142857 x = -1.188808355 + 1.357142857 Combine like terms: -1.188808355 + 1.357142857 = 0.168334502 x = 0.168334502 Simplifying x = 0.168334502

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.545951212, 0.168334502}

See similar equations:

| 7x^2-19x+6=0 | | 8+3(x-5)=-10+3x | | 4x+10=10x | | 7x-(5+7)=4x-6(7-8) | | 15p+p=7-120 | | 1=j/3-2 | | [17]= | | 2=(-4)+2p | | 70+3x-5=180 | | (X+8)2-25=0 | | 4x(x-7)=7(x-5) | | -4+ab=c | | 4(2x-3)+3=8x-11 | | x+162=388 | | -4(3y-7)+2(2y+5)= | | 5x+4(n+-6)=-11 | | -5(3+2x)=13-3x | | -11x+16=-6 | | -4a+b+6a-12b= | | 5+xy=z | | 269.50=4.14 | | 3x-15y-8x+y= | | 5x+4(n+-6)=6-101 | | -3x^2-11=0 | | -3(8x-4)=18 | | 5(9A-7)=10A+8 | | 10y^2-6y-3xy=10 | | 4=r/(-2)+2 | | 8x-2(x+1)=2(3x)-1 | | e7.4=6.9 | | .5x^2-10=0 | | 10y^2-6y-3xy-10=0 |

Equations solver categories