(x-2.5)(x+3.5)=

Simple and best practice solution for (x-2.5)(x+3.5)= 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-2.5)(x+3.5)= equation: 


Simplifying
(x + -2.5)(x + 3.5) = 0

Reorder the terms:
(-2.5 + x)(x + 3.5) = 0

Reorder the terms:
(-2.5 + x)(3.5 + x) = 0

Multiply (-2.5 + x) * (3.5 + x)
(-2.5(3.5 + x) + x(3.5 + x)) = 0
((3.5 * -2.5 + x * -2.5) + x(3.5 + x)) = 0
((-8.75 + -2.5x) + x(3.5 + x)) = 0
(-8.75 + -2.5x + (3.5 * x + x * x)) = 0
(-8.75 + -2.5x + (3.5x + x2)) = 0

Combine like terms: -2.5x + 3.5x = 1x
(-8.75 + 1x + x2) = 0

Solving
-8.75 + 1x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + 1x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + 1x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + 1x + x2 = 0 + 8.75
1x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
1x + x2 = 8.75

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 8.75 + 0.25

Reorder the terms:
0.25 + x + x2 = 8.75 + 0.25

Combine like terms: 8.75 + 0.25 = 9
0.25 + x + x2 = 9

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 9

Calculate the square root of the right side: 3

Break this problem into two subproblems by setting 
(x + 0.5) equal to 3 and -3.


Subproblem 1
x + 0.5 = 3

Simplifying
x + 0.5 = 3

Reorder the terms:
0.5 + x = 3

Solving
0.5 + x = 3

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 3 + -0.5
x = 3 + -0.5

Combine like terms: 3 + -0.5 = 2.5
x = 2.5

Simplifying
x = 2.5


Subproblem 2
x + 0.5 = -3

Simplifying
x + 0.5 = -3

Reorder the terms:
0.5 + x = -3

Solving
0.5 + x = -3

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -3 + -0.5
x = -3 + -0.5

Combine like terms: -3 + -0.5 = -3.5
x = -3.5

Simplifying
x = -3.5


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.5, -3.5}

See similar equations:

| 3t-4=0 | | 8+2=6-(x+8) | | m-(9n-n)= | | 0.2y-0.1=-5.2-0.3(3y-6) | | 3(4)=4y+12 | | y=0.8x+4.39 | | 2(2y+2)-(3y-2)=-12-(4y+2) | | 5x+10(x+4)=190 | | 2x-41=281 | | (20y+9-3)= | | 16x^2-250x=0 | | x/4=9-×/2 | | 0=.25x^2-x-3 | | 0.05a+0.08(100-a)=6.2 | | -4-3=7x-6 | | 56c+57=2037 | | -3a-(-5a+3)=-5 | | (5u+9)(6+u)=0 | | a-(2a-1)=0 | | 14x+14=47 | | X+(5x-5)=13 | | 5x=2x^2-3 | | (3x+9)-(4x+9)=0 | | -3(x+2)+4(x+1)=-4 | | ax-b=a-bx | | 1/4(y-1)=1/3(y-2) | | -0.5(4y+4)=0.5(-10-y) | | -15a=13.1a | | Logs-10=8 | | 5(x+3)+6=-4 | | f(x)=4x+1f-1(x) | | 0=-3(3t-9) |

Equations solver categories