x^2-1.5x-16=0

Simple and best practice solution for x^2-1.5x-16=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^2-1.5x-16=0 equation: 


Simplifying
x2 + -1.5x + -16 = 0

Reorder the terms:
-16 + -1.5x + x2 = 0

Solving
-16 + -1.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -1.5x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -1.5x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1.5x + x2 = 0 + 16
-1.5x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-1.5x + x2 = 16

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = 16 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 16 + 0.5625

Combine like terms: 16 + 0.5625 = 16.5625
0.5625 + -1.5x + x2 = 16.5625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 16.5625

Calculate the square root of the right side: 4.069705149

Break this problem into two subproblems by setting 
(x + -0.75) equal to 4.069705149 and -4.069705149.


Subproblem 1
x + -0.75 = 4.069705149

Simplifying
x + -0.75 = 4.069705149

Reorder the terms:
-0.75 + x = 4.069705149

Solving
-0.75 + x = 4.069705149

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = 4.069705149 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 4.069705149 + 0.75
x = 4.069705149 + 0.75

Combine like terms: 4.069705149 + 0.75 = 4.819705149
x = 4.819705149

Simplifying
x = 4.819705149


Subproblem 2
x + -0.75 = -4.069705149

Simplifying
x + -0.75 = -4.069705149

Reorder the terms:
-0.75 + x = -4.069705149

Solving
-0.75 + x = -4.069705149

Solving for variable 'x'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = -4.069705149 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -4.069705149 + 0.75
x = -4.069705149 + 0.75

Combine like terms: -4.069705149 + 0.75 = -3.319705149
x = -3.319705149

Simplifying
x = -3.319705149


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.819705149, -3.319705149}

See similar equations:

| 1.8x+x=0.03125 | | y^3*y^2*y^5= | | 30x+5x=20x | | 5+n-5= | | 12t^2-9t=3t | | x^2*xy^4= | | x(4x-5)=114 | | 5x+20=6x+12 | | 4b^2+19b+21=0 | | -3(x-5)=x+4-4x | | yz^2*y^2z^3= | | 3x^4+10x^2+3=0 | | (7x+10)+(-2x+5)= | | 3x+6=3y-4 | | x*1.8x=20 | | 25x-4=132 | | -6z+3+4z=-3z+8 | | -6z+3+4z=-3x+8 | | 10(3-y)=3y+2 | | -6z+3+3x=-3x+8 | | 7y-3+y=-(y+9y) | | 3(2n-4)=5(n+2) | | 9y-2y^2=10 | | n^3=8 | | 4+4=6 | | n^2=4 | | y^2-4.5y-5=0 | | 5*n+7=89 | | 4x-7=3(2x-3) | | y^2=2 | | 2(4x+3)-4=3x+11+2x | | x+4+X-1= |

Equations solver categories