(3.5-x)(0.1x+2.3)=0

Simple and best practice solution for (3.5-x)(0.1x+2.3)=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 (3.5-x)(0.1x+2.3)=0 equation: 


Simplifying
(3.5 + -1x)(0.1x + 2.3) = 0

Reorder the terms:
(3.5 + -1x)(2.3 + 0.1x) = 0

Multiply (3.5 + -1x) * (2.3 + 0.1x)
(3.5(2.3 + 0.1x) + -1x * (2.3 + 0.1x)) = 0
((2.3 * 3.5 + 0.1x * 3.5) + -1x * (2.3 + 0.1x)) = 0
((8.05 + 0.35x) + -1x * (2.3 + 0.1x)) = 0
(8.05 + 0.35x + (2.3 * -1x + 0.1x * -1x)) = 0
(8.05 + 0.35x + (-2.3x + -0.1x2)) = 0

Combine like terms: 0.35x + -2.3x = -1.95x
(8.05 + -1.95x + -0.1x2) = 0

Solving
8.05 + -1.95x + -0.1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.1 the coefficient of the squared term: 

Divide each side by '-0.1'.
-80.5 + 19.5x + x2 = 0

Move the constant term to the right:

Add '80.5' to each side of the equation.
-80.5 + 19.5x + 80.5 + x2 = 0 + 80.5

Reorder the terms:
-80.5 + 80.5 + 19.5x + x2 = 0 + 80.5

Combine like terms: -80.5 + 80.5 = 0.0
0.0 + 19.5x + x2 = 0 + 80.5
19.5x + x2 = 0 + 80.5

Combine like terms: 0 + 80.5 = 80.5
19.5x + x2 = 80.5

The x term is 19.5x.  Take half its coefficient (9.75).
Square it (95.0625) and add it to both sides.

Add '95.0625' to each side of the equation.
19.5x + 95.0625 + x2 = 80.5 + 95.0625

Reorder the terms:
95.0625 + 19.5x + x2 = 80.5 + 95.0625

Combine like terms: 80.5 + 95.0625 = 175.5625
95.0625 + 19.5x + x2 = 175.5625

Factor a perfect square on the left side:
(x + 9.75)(x + 9.75) = 175.5625

Calculate the square root of the right side: 13.25

Break this problem into two subproblems by setting 
(x + 9.75) equal to 13.25 and -13.25.


Subproblem 1
x + 9.75 = 13.25

Simplifying
x + 9.75 = 13.25

Reorder the terms:
9.75 + x = 13.25

Solving
9.75 + x = 13.25

Solving for variable 'x'.

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

Add '-9.75' to each side of the equation.
9.75 + -9.75 + x = 13.25 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + x = 13.25 + -9.75
x = 13.25 + -9.75

Combine like terms: 13.25 + -9.75 = 3.5
x = 3.5

Simplifying
x = 3.5


Subproblem 2
x + 9.75 = -13.25

Simplifying
x + 9.75 = -13.25

Reorder the terms:
9.75 + x = -13.25

Solving
9.75 + x = -13.25

Solving for variable 'x'.

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

Add '-9.75' to each side of the equation.
9.75 + -9.75 + x = -13.25 + -9.75

Combine like terms: 9.75 + -9.75 = 0.00
0.00 + x = -13.25 + -9.75
x = -13.25 + -9.75

Combine like terms: -13.25 + -9.75 = -23
x = -23

Simplifying
x = -23


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.5, -23}

See similar equations:

| 7n+5=0 | | 2.4=4.6+3.5z | | -28x=5 | | -12-4x=-40 | | -2x=-8x-18 | | 4.5X-1.5X=0.3(1-X) | | -28=5 | | 6x+12-3x+9=45 | | 9(6d+30)=5d | | C-11/(1/7)=-1 | | 11=21-2v | | 9(6d+25)=7d | | -11x+50=-6x | | 80=8w+8 | | 9(6d+25)=6d | | 9(6d+25)=5d | | 10=-3/5(w-1/3) | | (4x-3y)(6x-y)=0 | | 9(6d+5)=5d | | 14-2g=4 | | 6.3x+2=8.6 | | (x^2-6x-10)-(2x^2+4x-11)=0 | | 6m-4n+3p=-8 | | 9(6d+5)=6d | | 66.66x+7=x-9 | | Y/3–9=12 | | 9(4d+5)=3d | | 6(9+k)+k+9=84 | | 1/2(6x-2);3-x | | (4/5t)-1=7 | | x+18=6x | | 10(3+x)=15(x+1)+5 |

Equations solver categories