15x(x)-26x-371=0

Simple and best practice solution for 15x(x)-26x-371=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(x)-26x-371=0 equation:


Simplifying
15x(x) + -26x + -371 = 0

Multiply x * x
15x2 + -26x + -371 = 0

Reorder the terms:
-371 + -26x + 15x2 = 0

Solving
-371 + -26x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
-24.73333333 + -1.733333333x + x2 = 0

Move the constant term to the right:

Add '24.73333333' to each side of the equation.
-24.73333333 + -1.733333333x + 24.73333333 + x2 = 0 + 24.73333333

Reorder the terms:
-24.73333333 + 24.73333333 + -1.733333333x + x2 = 0 + 24.73333333

Combine like terms: -24.73333333 + 24.73333333 = 0.00000000
0.00000000 + -1.733333333x + x2 = 0 + 24.73333333
-1.733333333x + x2 = 0 + 24.73333333

Combine like terms: 0 + 24.73333333 = 24.73333333
-1.733333333x + x2 = 24.73333333

The x term is -1.733333333x.  Take half its coefficient (-0.8666666665).
Square it (0.7511111108) and add it to both sides.

Add '0.7511111108' to each side of the equation.
-1.733333333x + 0.7511111108 + x2 = 24.73333333 + 0.7511111108

Reorder the terms:
0.7511111108 + -1.733333333x + x2 = 24.73333333 + 0.7511111108

Combine like terms: 24.73333333 + 0.7511111108 = 25.4844444408
0.7511111108 + -1.733333333x + x2 = 25.4844444408

Factor a perfect square on the left side:
(x + -0.8666666665)(x + -0.8666666665) = 25.4844444408

Calculate the square root of the right side: 5.048212004

Break this problem into two subproblems by setting 
(x + -0.8666666665) equal to 5.048212004 and -5.048212004.

Subproblem 1

x + -0.8666666665 = 5.048212004 Simplifying x + -0.8666666665 = 5.048212004 Reorder the terms: -0.8666666665 + x = 5.048212004 Solving -0.8666666665 + x = 5.048212004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8666666665' to each side of the equation. -0.8666666665 + 0.8666666665 + x = 5.048212004 + 0.8666666665 Combine like terms: -0.8666666665 + 0.8666666665 = 0.0000000000 0.0000000000 + x = 5.048212004 + 0.8666666665 x = 5.048212004 + 0.8666666665 Combine like terms: 5.048212004 + 0.8666666665 = 5.9148786705 x = 5.9148786705 Simplifying x = 5.9148786705

Subproblem 2

x + -0.8666666665 = -5.048212004 Simplifying x + -0.8666666665 = -5.048212004 Reorder the terms: -0.8666666665 + x = -5.048212004 Solving -0.8666666665 + x = -5.048212004 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8666666665' to each side of the equation. -0.8666666665 + 0.8666666665 + x = -5.048212004 + 0.8666666665 Combine like terms: -0.8666666665 + 0.8666666665 = 0.0000000000 0.0000000000 + x = -5.048212004 + 0.8666666665 x = -5.048212004 + 0.8666666665 Combine like terms: -5.048212004 + 0.8666666665 = -4.1815453375 x = -4.1815453375 Simplifying x = -4.1815453375

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.9148786705, -4.1815453375}

See similar equations:

| cotgx-1=0 | | 2x-2ax=10 | | x^2+144x+864=0 | | 5x-3=X-5*2 | | 18*6-5y=53 | | 0.88=ln(y) | | 5/2x-3/2=X-5 | | 3(3w+5)=-32 | | 4(f-3)=-20 | | -7/9y=3/4 | | 5(k-4)-(4k+6)=-9 | | 3(3s+8)=51 | | 4x+8+3x-2=5x+24 | | (u+2)7=21 | | (q-10)6=24 | | Cos(3x)-cos(x/2)=0 | | 15-3(x+1)=6 | | Y=cos(3x)-cos(x/2) | | (e+2)3=15 | | 22+10x=118+2x | | 10x+22=2x+18 | | 45/k=1 | | y=X^2-2x^4 | | (2x)=4/64 | | ln(x-3)+x=4 | | 3x-1=x-23 | | 5x/2-3/2=X-5 | | 4x-2+3x-3=21 | | 1/2-(x/3-x)=5/3-1/2x | | 1/2-(x/3-x)0=5/3-1/2x | | (-3x+5)(7x-6)=0 | | 3x+3+2x-4=11 |

Equations solver categories