9x^2-42x+37=0

Simple and best practice solution for 9x^2-42x+37=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 9x^2-42x+37=0 equation: 


Simplifying
9x2 + -42x + 37 = 0

Reorder the terms:
37 + -42x + 9x2 = 0

Solving
37 + -42x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
4.111111111 + -4.666666667x + x2 = 0

Move the constant term to the right:

Add '-4.111111111' to each side of the equation.
4.111111111 + -4.666666667x + -4.111111111 + x2 = 0 + -4.111111111

Reorder the terms:
4.111111111 + -4.111111111 + -4.666666667x + x2 = 0 + -4.111111111

Combine like terms: 4.111111111 + -4.111111111 = 0.000000000
0.000000000 + -4.666666667x + x2 = 0 + -4.111111111
-4.666666667x + x2 = 0 + -4.111111111

Combine like terms: 0 + -4.111111111 = -4.111111111
-4.666666667x + x2 = -4.111111111

The x term is -4.666666667x.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667x + 5.444444448 + x2 = -4.111111111 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667x + x2 = -4.111111111 + 5.444444448

Combine like terms: -4.111111111 + 5.444444448 = 1.333333337
5.444444448 + -4.666666667x + x2 = 1.333333337

Factor a perfect square on the left side:
(x + -2.333333334)(x + -2.333333334) = 1.333333337

Calculate the square root of the right side: 1.15470054

Break this problem into two subproblems by setting 
(x + -2.333333334) equal to 1.15470054 and -1.15470054.


Subproblem 1
x + -2.333333334 = 1.15470054

Simplifying
x + -2.333333334 = 1.15470054

Reorder the terms:
-2.333333334 + x = 1.15470054

Solving
-2.333333334 + x = 1.15470054

Solving for variable 'x'.

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

Add '2.333333334' to each side of the equation.
-2.333333334 + 2.333333334 + x = 1.15470054 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = 1.15470054 + 2.333333334
x = 1.15470054 + 2.333333334

Combine like terms: 1.15470054 + 2.333333334 = 3.488033874
x = 3.488033874

Simplifying
x = 3.488033874


Subproblem 2
x + -2.333333334 = -1.15470054

Simplifying
x + -2.333333334 = -1.15470054

Reorder the terms:
-2.333333334 + x = -1.15470054

Solving
-2.333333334 + x = -1.15470054

Solving for variable 'x'.

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

Add '2.333333334' to each side of the equation.
-2.333333334 + 2.333333334 + x = -1.15470054 + 2.333333334

Combine like terms: -2.333333334 + 2.333333334 = 0.000000000
0.000000000 + x = -1.15470054 + 2.333333334
x = -1.15470054 + 2.333333334

Combine like terms: -1.15470054 + 2.333333334 = 1.178632794
x = 1.178632794

Simplifying
x = 1.178632794


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.488033874, 1.178632794}

See similar equations:

| 11-3(x+4)+5= | | H-41=13 | | 24=3(x)-6 | | (10x+36y)+(2x+y)= | | 63=60.50p+17.50 | | 8x-4+8x-4+4+3=180 | | 9=3(x)-6 | | 152+8h= | | 19=b-3 | | -3=3(x)-6 | | -6.5z+7.5z= | | 4n-2=12-4n | | 7(15x+25y)=125 | | x^2+4y^2=144 | | -12=3(x)-6 | | 12x+6=4x-20-2 | | 5+3y=30 | | -24=3(x)-6 | | 2x^2y+8xy-58y=0 | | 5x+55=7x+185 | | 2(7h-5)=24+9h | | -2x+19+5x-11= | | 9(x-2)-3=-21 | | Y=z+20 | | 3x+0.5=-8 | | 5x+55=7x+180 | | 4x^2+3x^2=441 | | -9+(-9)=x | | -5=n+2-6 | | 5y=-1-3x | | 5x+3y=30-5x | | -y-y-y-y= |

Equations solver categories