x(x-3)=1.5

Simple and best practice solution for x(x-3)=1.5 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(x-3)=1.5 equation: 


Simplifying
x(x + -3) = 1.5

Reorder the terms:
x(-3 + x) = 1.5
(-3 * x + x * x) = 1.5
(-3x + x2) = 1.5

Solving
-3x + x2 = 1.5

Solving for variable 'x'.

Reorder the terms:
-1.5 + -3x + x2 = 1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + -3x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '1.5' to each side of the equation.
-1.5 + -3x + 1.5 + x2 = 0.0 + 1.5

Reorder the terms:
-1.5 + 1.5 + -3x + x2 = 0.0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -3x + x2 = 0.0 + 1.5
-3x + x2 = 0.0 + 1.5

Combine like terms: 0.0 + 1.5 = 1.5
-3x + x2 = 1.5

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 1.5 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 1.5 + 2.25

Combine like terms: 1.5 + 2.25 = 3.75
2.25 + -3x + x2 = 3.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 3.75

Calculate the square root of the right side: 1.936491673

Break this problem into two subproblems by setting 
(x + -1.5) equal to 1.936491673 and -1.936491673.


Subproblem 1
x + -1.5 = 1.936491673

Simplifying
x + -1.5 = 1.936491673

Reorder the terms:
-1.5 + x = 1.936491673

Solving
-1.5 + x = 1.936491673

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = 1.936491673 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = 1.936491673 + 1.5
x = 1.936491673 + 1.5

Combine like terms: 1.936491673 + 1.5 = 3.436491673
x = 3.436491673

Simplifying
x = 3.436491673


Subproblem 2
x + -1.5 = -1.936491673

Simplifying
x + -1.5 = -1.936491673

Reorder the terms:
-1.5 + x = -1.936491673

Solving
-1.5 + x = -1.936491673

Solving for variable 'x'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + x = -1.936491673 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + x = -1.936491673 + 1.5
x = -1.936491673 + 1.5

Combine like terms: -1.936491673 + 1.5 = -0.436491673
x = -0.436491673

Simplifying
x = -0.436491673


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.436491673, -0.436491673}

See similar equations:

| 1/2(7x-6)=6x-10 | | in(2x-3)+In(x-2)=2Inx | | -10x-156=69-x | | 3x-91=14 | | 3x-1=19-(4x-9) | | -x-75=70+4x | | -52-12x=-4x+76 | | 12u/3=4 | | f(x)=(x-4)(x+5) | | 2x+10=3y-2 | | 8n-6n+5=11 | | z/15−14=22 | | D=1.25hv | | 2x-(x/3)=10 | | x^2-2lnx+3=0 | | 39.35=8g+3.51 | | 4n-12=93 | | 7+4(6-5x)=17-13x | | 4n-9=107 | | y-5.5y-0.7=-2-13.2 | | 4x=90-6x | | 23x=3742 | | 98r=197 | | 4(x+3)+8(6x-5)=32-5 | | 1/2y=3x-5 | | 3t-3=111 | | 4t=13 | | tg(x)=0.261 | | 4z=38 | | 7z-5=-145 | | 4n+19=7 | | -2y=6x-10 |

Equations solver categories