8x^2-150x+670=0

Simple and best practice solution for 8x^2-150x+670=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 8x^2-150x+670=0 equation: 


Simplifying
8x2 + -150x + 670 = 0

Reorder the terms:
670 + -150x + 8x2 = 0

Solving
670 + -150x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(335 + -75x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(335 + -75x + 4x2)' equal to zero and attempt to solve:

Simplifying
335 + -75x + 4x2 = 0

Solving
335 + -75x + 4x2 = 0

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

Divide each side by '4'.
83.75 + -18.75x + x2 = 0

Move the constant term to the right:

Add '-83.75' to each side of the equation.
83.75 + -18.75x + -83.75 + x2 = 0 + -83.75

Reorder the terms:
83.75 + -83.75 + -18.75x + x2 = 0 + -83.75

Combine like terms: 83.75 + -83.75 = 0.00
0.00 + -18.75x + x2 = 0 + -83.75
-18.75x + x2 = 0 + -83.75

Combine like terms: 0 + -83.75 = -83.75
-18.75x + x2 = -83.75

The x term is -18.75x.  Take half its coefficient (-9.375).
Square it (87.890625) and add it to both sides.

Add '87.890625' to each side of the equation.
-18.75x + 87.890625 + x2 = -83.75 + 87.890625

Reorder the terms:
87.890625 + -18.75x + x2 = -83.75 + 87.890625

Combine like terms: -83.75 + 87.890625 = 4.140625
87.890625 + -18.75x + x2 = 4.140625

Factor a perfect square on the left side:
(x + -9.375)(x + -9.375) = 4.140625

Calculate the square root of the right side: 2.034852575

Break this problem into two subproblems by setting 
(x + -9.375) equal to 2.034852575 and -2.034852575.


Subproblem 1
x + -9.375 = 2.034852575

Simplifying
x + -9.375 = 2.034852575

Reorder the terms:
-9.375 + x = 2.034852575

Solving
-9.375 + x = 2.034852575

Solving for variable 'x'.

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

Add '9.375' to each side of the equation.
-9.375 + 9.375 + x = 2.034852575 + 9.375

Combine like terms: -9.375 + 9.375 = 0.000
0.000 + x = 2.034852575 + 9.375
x = 2.034852575 + 9.375

Combine like terms: 2.034852575 + 9.375 = 11.409852575
x = 11.409852575

Simplifying
x = 11.409852575


Subproblem 2
x + -9.375 = -2.034852575

Simplifying
x + -9.375 = -2.034852575

Reorder the terms:
-9.375 + x = -2.034852575

Solving
-9.375 + x = -2.034852575

Solving for variable 'x'.

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

Add '9.375' to each side of the equation.
-9.375 + 9.375 + x = -2.034852575 + 9.375

Combine like terms: -9.375 + 9.375 = 0.000
0.000 + x = -2.034852575 + 9.375
x = -2.034852575 + 9.375

Combine like terms: -2.034852575 + 9.375 = 7.340147425
x = 7.340147425

Simplifying
x = 7.340147425


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.409852575, 7.340147425}
Solution
x = {11.409852575, 7.340147425}

See similar equations:

| 2x-11=-2 | | X-22=1/3x | | 15y^3/3y | | 5p+12=17 | | h/2-1=3 | | -20h+h^2=-25 | | 3sin(x)+3sin(3x)=0 | | 2m-1=4m-7+2 | | 10y=5x-19 | | X/7=14-x/25 | | 1=7y-8 | | f(x)=108 | | 9*(7+x)= | | -5s+14s=3s | | 8x+6y=268 | | -5S-14=3s | | -5-14s=3s | | X^3-5x-66=0 | | 9b+2b-8a-3b= | | 5-14s=3s | | 36x^2-6=58 | | 3+x^5= | | (-2)^(1/2) | | 18^(1/2)/(-2)^(1/2) | | 9x^2-9(p+q)x+(2p^2+5pq+2q^2)=0 | | 2x+(x-6)+(2x+8)+(x-8)=132 | | (x+2)(2x-8)=(x+1)(2x-5) | | 4D^3-7D+3=0 | | 3k-12=8k-2 | | 36-4y+3x=30 | | 3x+5=3*(2*x)+5 | | -7(7-4v)=9 |

Equations solver categories