15x^2-120x-170=0

Simple and best practice solution for 15x^2-120x-170=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 15x^2-120x-170=0 equation: 


Simplifying
15x2 + -120x + -170 = 0

Reorder the terms:
-170 + -120x + 15x2 = 0

Solving
-170 + -120x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-34 + -24x + 3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-34 + -24x + 3x2)' equal to zero and attempt to solve:

Simplifying
-34 + -24x + 3x2 = 0

Solving
-34 + -24x + 3x2 = 0

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

Divide each side by '3'.
-11.33333333 + -8x + x2 = 0

Move the constant term to the right:

Add '11.33333333' to each side of the equation.
-11.33333333 + -8x + 11.33333333 + x2 = 0 + 11.33333333

Reorder the terms:
-11.33333333 + 11.33333333 + -8x + x2 = 0 + 11.33333333

Combine like terms: -11.33333333 + 11.33333333 = 0.00000000
0.00000000 + -8x + x2 = 0 + 11.33333333
-8x + x2 = 0 + 11.33333333

Combine like terms: 0 + 11.33333333 = 11.33333333
-8x + x2 = 11.33333333

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 11.33333333 + 16

Reorder the terms:
16 + -8x + x2 = 11.33333333 + 16

Combine like terms: 11.33333333 + 16 = 27.33333333
16 + -8x + x2 = 27.33333333

Factor a perfect square on the left side:
(x + -4)(x + -4) = 27.33333333

Calculate the square root of the right side: 5.228129047

Break this problem into two subproblems by setting 
(x + -4) equal to 5.228129047 and -5.228129047.


Subproblem 1
x + -4 = 5.228129047

Simplifying
x + -4 = 5.228129047

Reorder the terms:
-4 + x = 5.228129047

Solving
-4 + x = 5.228129047

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 5.228129047 + 4

Combine like terms: -4 + 4 = 0
0 + x = 5.228129047 + 4
x = 5.228129047 + 4

Combine like terms: 5.228129047 + 4 = 9.228129047
x = 9.228129047

Simplifying
x = 9.228129047


Subproblem 2
x + -4 = -5.228129047

Simplifying
x + -4 = -5.228129047

Reorder the terms:
-4 + x = -5.228129047

Solving
-4 + x = -5.228129047

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -5.228129047 + 4

Combine like terms: -4 + 4 = 0
0 + x = -5.228129047 + 4
x = -5.228129047 + 4

Combine like terms: -5.228129047 + 4 = -1.228129047
x = -1.228129047

Simplifying
x = -1.228129047


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.228129047, -1.228129047}
Solution
x = {9.228129047, -1.228129047}

See similar equations:

| v^2+4v-90=-4 | | x^2+11x+30.25=498.25 | | 3(y+-33)=2(y+-33) | | 16x^2-192x+432=0 | | 12-4s=3s-9 | | 16x^2-160x+384=0 | | -2x+4x-3=8x-5x-2 | | 8b-7=-3-6b | | k^2-8k-84=9 | | x-2lnx-2=0 | | 3-2y=-4-2x | | r^2-20r+76=-8 | | (6x-3)(8x+3)=0 | | x-lnx-2=0 | | 24x+12y=540 | | -3+5=-16 | | 8+t=15 | | x^2+10x-101=-5 | | 2*3.14*x*x=4.4 | | 8y^2+37y-5= | | x^2+y^2-85=0 | | 225-90x-8x^2=0 | | 7r+12=2r-13 | | 2cos^2(15)-1= | | 4y-12x+24=0 | | 4r^2-8=0 | | 8y^2-37y+5= | | 6ab^5/6^-1a^-4b^3 | | (a+8)(a-3)=0 | | -3x+4=x-6 | | 3.14*2*x*x=75 | | y+dx=m |

Equations solver categories