0.5(x+1+x+2)x=10

Simple and best practice solution for 0.5(x+1+x+2)x=10 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 0.5(x+1+x+2)x=10 equation: 


Simplifying
0.5(x + 1 + x + 2) * x = 10

Reorder the terms:
0.5(1 + 2 + x + x) * x = 10

Combine like terms: 1 + 2 = 3
0.5(3 + x + x) * x = 10

Combine like terms: x + x = 2x
0.5(3 + 2x) * x = 10

Reorder the terms for easier multiplication:
0.5x(3 + 2x) = 10
(3 * 0.5x + 2x * 0.5x) = 10
(1.5x + 1x2) = 10

Solving
1.5x + 1x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 1.5x + 1x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 1.5x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + 1.5x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + 1.5x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1.5x + x2 = 0 + 10
1.5x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
1.5x + x2 = 10

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 = 10 + 0.5625

Reorder the terms:
0.5625 + 1.5x + x2 = 10 + 0.5625

Combine like terms: 10 + 0.5625 = 10.5625
0.5625 + 1.5x + x2 = 10.5625

Factor a perfect square on the left side:
(x + 0.75)(x + 0.75) = 10.5625

Calculate the square root of the right side: 3.25

Break this problem into two subproblems by setting 
(x + 0.75) equal to 3.25 and -3.25.


Subproblem 1
x + 0.75 = 3.25

Simplifying
x + 0.75 = 3.25

Reorder the terms:
0.75 + x = 3.25

Solving
0.75 + x = 3.25

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 = 3.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 3.25 + -0.75
x = 3.25 + -0.75

Combine like terms: 3.25 + -0.75 = 2.5
x = 2.5

Simplifying
x = 2.5


Subproblem 2
x + 0.75 = -3.25

Simplifying
x + 0.75 = -3.25

Reorder the terms:
0.75 + x = -3.25

Solving
0.75 + x = -3.25

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 = -3.25 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = -3.25 + -0.75
x = -3.25 + -0.75

Combine like terms: -3.25 + -0.75 = -4
x = -4

Simplifying
x = -4


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.5, -4}

See similar equations:

| 4(7+2r)=92 | | 8r+10=14 | | x(2x+3)=20 | | 4y=13+2y | | 0x=45 | | m^3-2m^2-9m+18=0 | | [(x^2-10x+25)-3]=0 | | 4x^2-3x+11=5x+8 | | 2(3b+4)=44 | | m^2-2m+5=0 | | 12z+34*6-7(2z/5)=435 | | m^2+3m+2=0 | | 30=5(3x+4) | | -2(12)+3(1.71)= | | x^2-7x-9=4x+3 | | m^2+m+1=0 | | -5+25x+-40x-10=-12x | | m^2-12m+36=0 | | 176-3x=24x+23 | | -5-25x+-40x-10=-4x-8x | | 10-9x=43-16x | | -5-25x+-40x-10=-12x | | 3x-6-12x+15=9x+3x-8 | | m^2=1-3m | | 8m=2(3m+2) | | 9+6(t-9)=4(t+7)+9 | | 80x=7034 | | 20-5x=11+4x | | 6x+1=3x+10 | | -12x+-9+24x+4=43 | | 3+4=2x | | (4x+3)(2x-5)=0 |

Equations solver categories