7x^2-34x+12=0

Simple and best practice solution for 7x^2-34x+12=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 7x^2-34x+12=0 equation: 


Simplifying
7x2 + -34x + 12 = 0

Reorder the terms:
12 + -34x + 7x2 = 0

Solving
12 + -34x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
1.714285714 + -4.857142857x + x2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + -4.857142857x + -1.714285714 + x2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + -4.857142857x + x2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + -4.857142857x + x2 = 0 + -1.714285714
-4.857142857x + x2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
-4.857142857x + x2 = -1.714285714

The x term is -4.857142857x.  Take half its coefficient (-2.428571429).
Square it (5.897959186) and add it to both sides.

Add '5.897959186' to each side of the equation.
-4.857142857x + 5.897959186 + x2 = -1.714285714 + 5.897959186

Reorder the terms:
5.897959186 + -4.857142857x + x2 = -1.714285714 + 5.897959186

Combine like terms: -1.714285714 + 5.897959186 = 4.183673472
5.897959186 + -4.857142857x + x2 = 4.183673472

Factor a perfect square on the left side:
(x + -2.428571429)(x + -2.428571429) = 4.183673472

Calculate the square root of the right side: 2.04540301

Break this problem into two subproblems by setting 
(x + -2.428571429) equal to 2.04540301 and -2.04540301.


Subproblem 1
x + -2.428571429 = 2.04540301

Simplifying
x + -2.428571429 = 2.04540301

Reorder the terms:
-2.428571429 + x = 2.04540301

Solving
-2.428571429 + x = 2.04540301

Solving for variable 'x'.

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

Add '2.428571429' to each side of the equation.
-2.428571429 + 2.428571429 + x = 2.04540301 + 2.428571429

Combine like terms: -2.428571429 + 2.428571429 = 0.000000000
0.000000000 + x = 2.04540301 + 2.428571429
x = 2.04540301 + 2.428571429

Combine like terms: 2.04540301 + 2.428571429 = 4.473974439
x = 4.473974439

Simplifying
x = 4.473974439


Subproblem 2
x + -2.428571429 = -2.04540301

Simplifying
x + -2.428571429 = -2.04540301

Reorder the terms:
-2.428571429 + x = -2.04540301

Solving
-2.428571429 + x = -2.04540301

Solving for variable 'x'.

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

Add '2.428571429' to each side of the equation.
-2.428571429 + 2.428571429 + x = -2.04540301 + 2.428571429

Combine like terms: -2.428571429 + 2.428571429 = 0.000000000
0.000000000 + x = -2.04540301 + 2.428571429
x = -2.04540301 + 2.428571429

Combine like terms: -2.04540301 + 2.428571429 = 0.383168419
x = 0.383168419

Simplifying
x = 0.383168419


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.473974439, 0.383168419}

See similar equations:

| A(n)=3+(3+1)(1.5) | | 36-5x=8-9x | | 2p=m-3n | | y=-2x^2+8x-12 | | 6x+14=-52-5x | | 6y-33+2y=-1 | | 5[10-(3+4)+1]-4= | | 4=0*X+0.5*-9.81*X^2 | | X^2-180x+900=0 | | graphy=-2x^2-16x-31 | | 6+91x=39x+54 | | 2(-1)-3y=6 | | 10+5x=-2+x | | y=-2x^2-16x-31graph | | A(n)=-5.5+(10+1)(2) | | .5x+9=30 | | A(n)=-5.5+(5+1)(2) | | y+2(3.5+-0.5y)=7 | | 3(10-2y)-y=10 | | A(n)=-5.5+(3+1)(2) | | 5x+5=9x+1 | | A(n)=2+(10+1)(6) | | -26+2x=-39+9x | | A(n)=2+(5+1)(6) | | 8b^2=-56-7 | | 14-4x=2y | | 2x^2+3ix+2=0 | | -3c-6d+c-11d= | | 15=5*x | | A(n)=2+(3+1)(6) | | 1x+10=15 | | A(n)=4+(10+1)(-5) |

Equations solver categories