3x^2-42x+3=0

Simple and best practice solution for 3x^2-42x+3=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 3x^2-42x+3=0 equation: 


Simplifying
3x2 + -42x + 3 = 0

Reorder the terms:
3 + -42x + 3x2 = 0

Solving
3 + -42x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -14x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + -14x + x2)' equal to zero and attempt to solve:

Simplifying
1 + -14x + x2 = 0

Solving
1 + -14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -14x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -14x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -14x + x2 = 0 + -1
-14x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-14x + x2 = -1

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -1 + 49

Reorder the terms:
49 + -14x + x2 = -1 + 49

Combine like terms: -1 + 49 = 48
49 + -14x + x2 = 48

Factor a perfect square on the left side:
(x + -7)(x + -7) = 48

Calculate the square root of the right side: 6.92820323

Break this problem into two subproblems by setting 
(x + -7) equal to 6.92820323 and -6.92820323.


Subproblem 1
x + -7 = 6.92820323

Simplifying
x + -7 = 6.92820323

Reorder the terms:
-7 + x = 6.92820323

Solving
-7 + x = 6.92820323

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 6.92820323 + 7

Combine like terms: -7 + 7 = 0
0 + x = 6.92820323 + 7
x = 6.92820323 + 7

Combine like terms: 6.92820323 + 7 = 13.92820323
x = 13.92820323

Simplifying
x = 13.92820323


Subproblem 2
x + -7 = -6.92820323

Simplifying
x + -7 = -6.92820323

Reorder the terms:
-7 + x = -6.92820323

Solving
-7 + x = -6.92820323

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -6.92820323 + 7

Combine like terms: -7 + 7 = 0
0 + x = -6.92820323 + 7
x = -6.92820323 + 7

Combine like terms: -6.92820323 + 7 = 0.07179677
x = 0.07179677

Simplifying
x = 0.07179677


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.92820323, 0.07179677}
Solution
x = {13.92820323, 0.07179677}

See similar equations:

| h(2)=-16t^2+127t | | 5-3+4= | | 5-3-3= | | x^1/2-3x^1/4-10=0 | | 3x^2+36x=6 | | 5/9d1/3=1/4 | | 5-(3-4)= | | y=3x^2+12-13 | | -3/2*x=-30 | | m^2+2m=17 | | y=3x^2+12+13 | | 12+3y+8x=0 | | Y=x^2-14x+54 | | f(x)=5(3/4)x | | n-18=-10 | | 23x-19sinx=5 | | F(x)=x^3+x^2+9x+9 | | (4X)+(9X-1)=90 | | -[9x-(2x+1)]=-4-[4(3x-3)-3x] | | k^2-6k=20 | | 3+3p=p-7 | | (-m^2+2m^3+9m^4-5m+8)= | | 2n^2+8n=10 | | w/8=l6 | | -4x-7=5x+5 | | .8*0+9=8(.6*0-2) | | (X-5)^1/3-4=-2 | | 2.6y=7.28 | | l+20+4l+60=180 | | -10a-8=-23 | | .8*6+9=8(.6*6-2) | | N-31=24 |

Equations solver categories