x^2-3.5x=-2.5

Simple and best practice solution for x^2-3.5x=-2.5 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^2-3.5x=-2.5 equation: 


Simplifying
x2 + -3.5x = -2.5

Reorder the terms:
-3.5x + x2 = -2.5

Solving
-3.5x + x2 = -2.5

Solving for variable 'x'.

Reorder the terms:
2.5 + -3.5x + x2 = -2.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + -3.5x + x2 = 0.0

Begin completing the square.

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -3.5x + -2.5 + x2 = 0.0 + -2.5

Reorder the terms:
2.5 + -2.5 + -3.5x + x2 = 0.0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -3.5x + x2 = 0.0 + -2.5
-3.5x + x2 = 0.0 + -2.5

Combine like terms: 0.0 + -2.5 = -2.5
-3.5x + x2 = -2.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -2.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -2.5 + 3.0625

Combine like terms: -2.5 + 3.0625 = 0.5625
3.0625 + -3.5x + x2 = 0.5625

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = 0.5625

Calculate the square root of the right side: 0.75

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


Subproblem 1
x + -1.75 = 0.75

Simplifying
x + -1.75 = 0.75

Reorder the terms:
-1.75 + x = 0.75

Solving
-1.75 + x = 0.75

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = 0.75 + 1.75

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

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

Simplifying
x = 2.5


Subproblem 2
x + -1.75 = -0.75

Simplifying
x + -1.75 = -0.75

Reorder the terms:
-1.75 + x = -0.75

Solving
-1.75 + x = -0.75

Solving for variable 'x'.

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

Add '1.75' to each side of the equation.
-1.75 + 1.75 + x = -0.75 + 1.75

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

Combine like terms: -0.75 + 1.75 = 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:

| 6x-5-2x-1= | | -30+-2= | | 2x+5=6(x-6) | | x+40=39 | | x^2-3.5=-2.5 | | X^2-0.4+0.04=0 | | -2.5d-32.7=74.1 | | 2x-1-6x-5= | | 9x-8x^2=-8 | | -27x-84b=-13x-24a | | 4(3+5x)-4=3+2(x-1) | | 9x-8x^2+8=0 | | 2(x-8)=7 | | 3(c+1)=99 | | 2x^2+6x+9=17 | | 7x-10-x+3= | | 26x=104 | | 5(3x+7)=15x+35 | | 8x-16=2(4-2x) | | -2x+1=4x+3 | | 9x+8-7x=28 | | 5x^2+10-3=0 | | -5(7x-4)+5=-35x+25 | | 10y+7+7y-10= | | 5x+2=3(x+2) | | A=63 | | 4(3-1)-20=-12 | | 26-x=3x+5 | | 2(8x-1)=20 | | 0.8x-1.8=0.6 | | m/16-9=-8 | | 9(x-1)+5=6x+3(-1+x) |

Equations solver categories