15x^2-82x-112=0

Simple and best practice solution for 15x^2-82x-112=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^2-82x-112=0 equation: 


Simplifying
15x2 + -82x + -112 = 0

Reorder the terms:
-112 + -82x + 15x2 = 0

Solving
-112 + -82x + 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'.
-7.466666667 + -5.466666667x + x2 = 0

Move the constant term to the right:

Add '7.466666667' to each side of the equation.
-7.466666667 + -5.466666667x + 7.466666667 + x2 = 0 + 7.466666667

Reorder the terms:
-7.466666667 + 7.466666667 + -5.466666667x + x2 = 0 + 7.466666667

Combine like terms: -7.466666667 + 7.466666667 = 0.000000000
0.000000000 + -5.466666667x + x2 = 0 + 7.466666667
-5.466666667x + x2 = 0 + 7.466666667

Combine like terms: 0 + 7.466666667 = 7.466666667
-5.466666667x + x2 = 7.466666667

The x term is -5.466666667x.  Take half its coefficient (-2.733333334).
Square it (7.471111115) and add it to both sides.

Add '7.471111115' to each side of the equation.
-5.466666667x + 7.471111115 + x2 = 7.466666667 + 7.471111115

Reorder the terms:
7.471111115 + -5.466666667x + x2 = 7.466666667 + 7.471111115

Combine like terms: 7.466666667 + 7.471111115 = 14.937777782
7.471111115 + -5.466666667x + x2 = 14.937777782

Factor a perfect square on the left side:
(x + -2.733333334)(x + -2.733333334) = 14.937777782

Calculate the square root of the right side: 3.864942145

Break this problem into two subproblems by setting 
(x + -2.733333334) equal to 3.864942145 and -3.864942145.


Subproblem 1
x + -2.733333334 = 3.864942145

Simplifying
x + -2.733333334 = 3.864942145

Reorder the terms:
-2.733333334 + x = 3.864942145

Solving
-2.733333334 + x = 3.864942145

Solving for variable 'x'.

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

Add '2.733333334' to each side of the equation.
-2.733333334 + 2.733333334 + x = 3.864942145 + 2.733333334

Combine like terms: -2.733333334 + 2.733333334 = 0.000000000
0.000000000 + x = 3.864942145 + 2.733333334
x = 3.864942145 + 2.733333334

Combine like terms: 3.864942145 + 2.733333334 = 6.598275479
x = 6.598275479

Simplifying
x = 6.598275479


Subproblem 2
x + -2.733333334 = -3.864942145

Simplifying
x + -2.733333334 = -3.864942145

Reorder the terms:
-2.733333334 + x = -3.864942145

Solving
-2.733333334 + x = -3.864942145

Solving for variable 'x'.

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

Add '2.733333334' to each side of the equation.
-2.733333334 + 2.733333334 + x = -3.864942145 + 2.733333334

Combine like terms: -2.733333334 + 2.733333334 = 0.000000000
0.000000000 + x = -3.864942145 + 2.733333334
x = -3.864942145 + 2.733333334

Combine like terms: -3.864942145 + 2.733333334 = -1.131608811
x = -1.131608811

Simplifying
x = -1.131608811


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.598275479, -1.131608811}

See similar equations:

| 180-42/3 | | 7(3+2x)=105 | | 2x^2-9x-4+x^2-16=0 | | -x+6-4x=2x+24 | | 3(2y+18)-y=14 | | C=50+0.20(x-40) | | -5(1+1x)=-30 | | 2w^2+11w+15=w^2+9 | | 5(-5+2x)=-95 | | .1x+5=0 | | C=30+0.20(x-40) | | -5x-2=-6x+9 | | 6(5x-2)-20x=58 | | 2+log(3)(2x+5)-log(3)x=4 | | -5x+1=7x-131 | | y-5y=7+5 | | 3(k+4)-11k+5+2= | | 6(2-5x)-20x=58 | | x+2(x+3)n=36 | | r^2-4r-9=7 | | r^2-4r-9= | | 4r-12=16+5r | | 8x+2=3x+32 | | 6b-4b=22 | | 7m-18=24+m | | -3x+9=-11+2x | | -5(t-2)-(t+1)=6 | | 3(4j+6)=2(-10+5j) | | 9.8+x=0.9 | | 2(6x-1)-4x=22 | | pc/x=c/p | | Log(8)(3x+5)=log(8)(3x+8) |

Equations solver categories