15x^2+112x+71=0

Simple and best practice solution for 15x^2+112x+71=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+112x+71=0 equation: 


Simplifying
15x2 + 112x + 71 = 0

Reorder the terms:
71 + 112x + 15x2 = 0

Solving
71 + 112x + 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'.
4.733333333 + 7.466666667x + x2 = 0

Move the constant term to the right:

Add '-4.733333333' to each side of the equation.
4.733333333 + 7.466666667x + -4.733333333 + x2 = 0 + -4.733333333

Reorder the terms:
4.733333333 + -4.733333333 + 7.466666667x + x2 = 0 + -4.733333333

Combine like terms: 4.733333333 + -4.733333333 = 0.000000000
0.000000000 + 7.466666667x + x2 = 0 + -4.733333333
7.466666667x + x2 = 0 + -4.733333333

Combine like terms: 0 + -4.733333333 = -4.733333333
7.466666667x + x2 = -4.733333333

The x term is 7.466666667x.  Take half its coefficient (3.733333334).
Square it (13.93777778) and add it to both sides.

Add '13.93777778' to each side of the equation.
7.466666667x + 13.93777778 + x2 = -4.733333333 + 13.93777778

Reorder the terms:
13.93777778 + 7.466666667x + x2 = -4.733333333 + 13.93777778

Combine like terms: -4.733333333 + 13.93777778 = 9.204444447
13.93777778 + 7.466666667x + x2 = 9.204444447

Factor a perfect square on the left side:
(x + 3.733333334)(x + 3.733333334) = 9.204444447

Calculate the square root of the right side: 3.033882735

Break this problem into two subproblems by setting 
(x + 3.733333334) equal to 3.033882735 and -3.033882735.


Subproblem 1
x + 3.733333334 = 3.033882735

Simplifying
x + 3.733333334 = 3.033882735

Reorder the terms:
3.733333334 + x = 3.033882735

Solving
3.733333334 + x = 3.033882735

Solving for variable 'x'.

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

Add '-3.733333334' to each side of the equation.
3.733333334 + -3.733333334 + x = 3.033882735 + -3.733333334

Combine like terms: 3.733333334 + -3.733333334 = 0.000000000
0.000000000 + x = 3.033882735 + -3.733333334
x = 3.033882735 + -3.733333334

Combine like terms: 3.033882735 + -3.733333334 = -0.699450599
x = -0.699450599

Simplifying
x = -0.699450599


Subproblem 2
x + 3.733333334 = -3.033882735

Simplifying
x + 3.733333334 = -3.033882735

Reorder the terms:
3.733333334 + x = -3.033882735

Solving
3.733333334 + x = -3.033882735

Solving for variable 'x'.

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

Add '-3.733333334' to each side of the equation.
3.733333334 + -3.733333334 + x = -3.033882735 + -3.733333334

Combine like terms: 3.733333334 + -3.733333334 = 0.000000000
0.000000000 + x = -3.033882735 + -3.733333334
x = -3.033882735 + -3.733333334

Combine like terms: -3.033882735 + -3.733333334 = -6.767216069
x = -6.767216069

Simplifying
x = -6.767216069


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.699450599, -6.767216069}

See similar equations:

| 5x-2(x+7)=8x+4 | | X-7=-4(2x+4) | | 4113.47=(0.075*x)+x | | kden+29kden=90 | | 1x-4=2x-7 | | 6x+8y=26 | | X-7=8x+-16 | | -7(16-8)= | | k+29k=90 | | l=13+-1w | | k+30k=90 | | -12+13m=12-2-11m+2 | | 0.5x+16=36 | | -19x-9=9 | | 10n-10=60 | | k+26k=68 | | 36x=26x+72 | | 3x^2=-2 | | 3o+100000000000000000000000000000000000=100000000000000000000000000000000000000000000000000006 | | m(2)+140=1250 | | -6-(-2n)=3n-6+11 | | -4=-4(f-1) | | -102=6(7+3x) | | 12(x-5)-5=0 | | x*.045=10500 | | 2x+100=109 | | 6f+5f=33 | | 2x+100=108 | | 0.5a-3=7-.75a | | 6(x+4)=3(2x+1)+21 | | 15x=5(3x+7) | | p-2-5-3p=-(p+8)+4(p+4) |

Equations solver categories