x^2-16x-14=0

Simple and best practice solution for x^2-16x-14=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 x^2-16x-14=0 equation:


Simplifying
x2 + -16x + -14 = 0

Reorder the terms:
-14 + -16x + x2 = 0

Solving
-14 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -16x + 14 + x2 = 0 + 14

Reorder the terms:
-14 + 14 + -16x + x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -16x + x2 = 0 + 14
-16x + x2 = 0 + 14

Combine like terms: 0 + 14 = 14
-16x + x2 = 14

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = 14 + 64

Reorder the terms:
64 + -16x + x2 = 14 + 64

Combine like terms: 14 + 64 = 78
64 + -16x + x2 = 78

Factor a perfect square on the left side:
(x + -8)(x + -8) = 78

Calculate the square root of the right side: 8.831760866

Break this problem into two subproblems by setting 
(x + -8) equal to 8.831760866 and -8.831760866.

Subproblem 1

x + -8 = 8.831760866 Simplifying x + -8 = 8.831760866 Reorder the terms: -8 + x = 8.831760866 Solving -8 + x = 8.831760866 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 8.831760866 + 8 Combine like terms: -8 + 8 = 0 0 + x = 8.831760866 + 8 x = 8.831760866 + 8 Combine like terms: 8.831760866 + 8 = 16.831760866 x = 16.831760866 Simplifying x = 16.831760866

Subproblem 2

x + -8 = -8.831760866 Simplifying x + -8 = -8.831760866 Reorder the terms: -8 + x = -8.831760866 Solving -8 + x = -8.831760866 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = -8.831760866 + 8 Combine like terms: -8 + 8 = 0 0 + x = -8.831760866 + 8 x = -8.831760866 + 8 Combine like terms: -8.831760866 + 8 = -0.831760866 x = -0.831760866 Simplifying x = -0.831760866

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.831760866, -0.831760866}

See similar equations:

| 122-2x=43x+17 | | 4(n-1)+n-7=24 | | 6-9x=66-44x | | 6+2x+7x=6 | | 7x-(3x+8)=6x-46 | | -77-9x=7x+19 | | 119-2x=43x+19 | | 6+c=15 | | 4n+9=10n+18 | | 8-9x=83-30x | | 5n+16n=42 | | 4(x+1)=6(x-2)-6 | | 7x-5=2x+15 | | p-5=13 | | 8x=63 | | -9.2x=36.8 | | 6x-5=14+-7 | | 6y-2=11y+23 | | 2x+7=-29-10x | | (6x+4)+(5x+1)+(3x+3)+(4x)=360 | | -3y-2=5-4y | | 5x+11=-15-8x | | 4x+16=12x-48 | | 9x-1=7x+33 | | -y^2+3y+5=0 | | 9x+2=6x-4 | | (3k-2)(k+6)= | | 93-3x=10x+15 | | 9x-21=87 | | 3(4m-6)=12 | | 14x^2+5x+1=0 | | 3x+9=59-2x |

Equations solver categories