x^2-1.5x-2.5=0

Simple and best practice solution for x^2-1.5x-2.5=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-2.5=0 equation: 


Simplifying
x2 + -1.5x + -2.5 = 0

Reorder the terms:
-2.5 + -1.5x + x2 = 0

Solving
-2.5 + -1.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + -1.5x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + -1.5x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -1.5x + x2 = 0 + 2.5
-1.5x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
-1.5x + x2 = 2.5

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 = 2.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 2.5 + 0.5625

Combine like terms: 2.5 + 0.5625 = 3.0625
0.5625 + -1.5x + x2 = 3.0625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 3.0625

Calculate the square root of the right side: 1.75

Break this problem into two subproblems by setting 
(x + -0.75) equal to 1.75 and -1.75.


Subproblem 1
x + -0.75 = 1.75

Simplifying
x + -0.75 = 1.75

Reorder the terms:
-0.75 + x = 1.75

Solving
-0.75 + x = 1.75

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 = 1.75 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 1.75 + 0.75
x = 1.75 + 0.75

Combine like terms: 1.75 + 0.75 = 2.5
x = 2.5

Simplifying
x = 2.5


Subproblem 2
x + -0.75 = -1.75

Simplifying
x + -0.75 = -1.75

Reorder the terms:
-0.75 + x = -1.75

Solving
-0.75 + x = -1.75

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 = -1.75 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = -1.75 + 0.75
x = -1.75 + 0.75

Combine like terms: -1.75 + 0.75 = -1
x = -1

Simplifying
x = -1


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.5, -1}

See similar equations:

| a+5/6=4 | | 2(x-5)+11=15 | | 2(x-3)=2x-3 | | 1.8y=-3 | | 2x^(2/3)-x^(1/3)-28=0 | | -.5y-.7=.55 | | 2x^2/3-x^1/3-28=0 | | -7-5z=13 | | 3(x-3)=3x+5 | | -1=n/-6+5 | | 12n+5=-55 | | 12x/9+3x/9 | | 8-4y=40 | | 2/3+1/5= | | -4b=2(-2b+0) | | 2(x-10)=4(3x+5) | | 3x+2=-1(x-4) | | 5(1-r)=245 | | x*2+4=104 | | (2/3)+(1/5)= | | 7m-15=41 | | 2(-7-8m)=-144 | | -4.2s=-16.8 | | 3+2x=7x-11 | | 180x=x^2+90 | | x(x)-2x-24=0 | | 9y+3=2(3y+6) | | r+3=2(5r-3) | | 2h^2=-8 | | 2(w+4)+2(w)=16 | | 1.5(8x+4)=4x+5 | | m/6-11=10 |

Equations solver categories