7x^2-94x-49=0

Simple and best practice solution for 7x^2-94x-49=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^2-94x-49=0 equation: 


Simplifying
7x2 + -94x + -49 = 0

Reorder the terms:
-49 + -94x + 7x2 = 0

Solving
-49 + -94x + 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'.
-7 + -13.42857143x + x2 = 0

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + -13.42857143x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + -13.42857143x + x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -13.42857143x + x2 = 0 + 7
-13.42857143x + x2 = 0 + 7

Combine like terms: 0 + 7 = 7
-13.42857143x + x2 = 7

The x term is -13.42857143x.  Take half its coefficient (-6.714285715).
Square it (45.08163266) and add it to both sides.

Add '45.08163266' to each side of the equation.
-13.42857143x + 45.08163266 + x2 = 7 + 45.08163266

Reorder the terms:
45.08163266 + -13.42857143x + x2 = 7 + 45.08163266

Combine like terms: 7 + 45.08163266 = 52.08163266
45.08163266 + -13.42857143x + x2 = 52.08163266

Factor a perfect square on the left side:
(x + -6.714285715)(x + -6.714285715) = 52.08163266

Calculate the square root of the right side: 7.216760538

Break this problem into two subproblems by setting 
(x + -6.714285715) equal to 7.216760538 and -7.216760538.


Subproblem 1
x + -6.714285715 = 7.216760538

Simplifying
x + -6.714285715 = 7.216760538

Reorder the terms:
-6.714285715 + x = 7.216760538

Solving
-6.714285715 + x = 7.216760538

Solving for variable 'x'.

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

Add '6.714285715' to each side of the equation.
-6.714285715 + 6.714285715 + x = 7.216760538 + 6.714285715

Combine like terms: -6.714285715 + 6.714285715 = 0.000000000
0.000000000 + x = 7.216760538 + 6.714285715
x = 7.216760538 + 6.714285715

Combine like terms: 7.216760538 + 6.714285715 = 13.931046253
x = 13.931046253

Simplifying
x = 13.931046253


Subproblem 2
x + -6.714285715 = -7.216760538

Simplifying
x + -6.714285715 = -7.216760538

Reorder the terms:
-6.714285715 + x = -7.216760538

Solving
-6.714285715 + x = -7.216760538

Solving for variable 'x'.

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

Add '6.714285715' to each side of the equation.
-6.714285715 + 6.714285715 + x = -7.216760538 + 6.714285715

Combine like terms: -6.714285715 + 6.714285715 = 0.000000000
0.000000000 + x = -7.216760538 + 6.714285715
x = -7.216760538 + 6.714285715

Combine like terms: -7.216760538 + 6.714285715 = -0.502474823
x = -0.502474823

Simplifying
x = -0.502474823


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.931046253, -0.502474823}

See similar equations:

| -13-13= | | -10-n=10 | | 7T+10=70+9T | | 4x^2+4=5x^2-2 | | 14.2=0.5(20n-7.8) | | 3x-17=-48 | | 70=L(2w-3) | | 72x+-92x=436+1108 | | -1x+-x= | | 3g-4=-3+3g | | 2p-5=21+4p | | 72x+96x=436+1108 | | (t+8)(4-5)=56 | | 23x+17y=-5 | | h=19.6t-4.9t^2-2.5 | | 8r-19=-28+7r | | 3x-20=-x^2+34 | | 3x^2-3y^2=27 | | X-26=-8 | | 1+4y=8y-1.3 | | 4v-22=-4-6(v-2) | | -(r+7)=1-r | | 1+4y=8y-3 | | 26=9 | | 3(x+4)-10=3x+2 | | 0.45=4.5 | | -9+99= | | -26=4x-6 | | 7+26m=35+19m | | Ty-2n=y | | 7=4+9y | | -5=1/2x-5 |

Equations solver categories