x^2-4.5x-12=0

Simple and best practice solution for x^2-4.5x-12=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^2-4.5x-12=0 equation: 


Simplifying
x2 + -4.5x + -12 = 0

Reorder the terms:
-12 + -4.5x + x2 = 0

Solving
-12 + -4.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '12' to each side of the equation.
-12 + -4.5x + 12 + x2 = 0 + 12

Reorder the terms:
-12 + 12 + -4.5x + x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4.5x + x2 = 0 + 12
-4.5x + x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-4.5x + x2 = 12

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = 12 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = 12 + 5.0625

Combine like terms: 12 + 5.0625 = 17.0625
5.0625 + -4.5x + x2 = 17.0625

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = 17.0625

Calculate the square root of the right side: 4.13067791

Break this problem into two subproblems by setting 
(x + -2.25) equal to 4.13067791 and -4.13067791.


Subproblem 1
x + -2.25 = 4.13067791

Simplifying
x + -2.25 = 4.13067791

Reorder the terms:
-2.25 + x = 4.13067791

Solving
-2.25 + x = 4.13067791

Solving for variable 'x'.

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

Add '2.25' to each side of the equation.
-2.25 + 2.25 + x = 4.13067791 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + x = 4.13067791 + 2.25
x = 4.13067791 + 2.25

Combine like terms: 4.13067791 + 2.25 = 6.38067791
x = 6.38067791

Simplifying
x = 6.38067791


Subproblem 2
x + -2.25 = -4.13067791

Simplifying
x + -2.25 = -4.13067791

Reorder the terms:
-2.25 + x = -4.13067791

Solving
-2.25 + x = -4.13067791

Solving for variable 'x'.

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

Add '2.25' to each side of the equation.
-2.25 + 2.25 + x = -4.13067791 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
0.00 + x = -4.13067791 + 2.25
x = -4.13067791 + 2.25

Combine like terms: -4.13067791 + 2.25 = -1.88067791
x = -1.88067791

Simplifying
x = -1.88067791


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.38067791, -1.88067791}

See similar equations:

| 38=x+(x+14)+(x+9) | | 6=-6x+6(3x-11) | | -98=7x+x-10 | | 20-9w=4(15-p) | | -3u+5u+1=5u-5 | | 2x^2-24+72=0 | | 0=8+4n | | 3.4=6(y+8.5) | | -8u+6(u+3)=20 | | 0=8n+4n | | 2c-7+9c=10c+2 | | lnx-ln(x-1)=2 | | f(x)=x^2-9x+7 | | -4b+9=-5 | | -5x-13=-8(x-1) | | 5(6x-5)(4x+5)=0 | | -1=x+7x-1 | | 19000+1200-x=35000 | | 5x-(4-2x)=4+7x | | 3(x-1)-4(x+7)=5(x-11) | | 1/2x+15=9 | | -2w+5q=12 | | -v=5-2v | | N-(-9)=12 | | 10x+-2=-92 | | 1y-(-8)=16 | | 5q-2w=12 | | 24p^2=20-28p | | h*8=0 | | 36a^2-100=0 | | -.5b-6=-11 | | 3(p-2q)-(5q-2p)= |

Equations solver categories