5+2x=12+18x-4.905x^2

Simple and best practice solution for 5+2x=12+18x-4.905x^2 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 5+2x=12+18x-4.905x^2 equation: 


Simplifying
5 + 2x = 12 + 18x + -4.905x2

Solving
5 + 2x = 12 + 18x + -4.905x2

Solving for variable 'x'.

Reorder the terms:
5 + -12 + 2x + -18x + 4.905x2 = 12 + 18x + -4.905x2 + -12 + -18x + 4.905x2

Combine like terms: 5 + -12 = -7
-7 + 2x + -18x + 4.905x2 = 12 + 18x + -4.905x2 + -12 + -18x + 4.905x2

Combine like terms: 2x + -18x = -16x
-7 + -16x + 4.905x2 = 12 + 18x + -4.905x2 + -12 + -18x + 4.905x2

Reorder the terms:
-7 + -16x + 4.905x2 = 12 + -12 + 18x + -18x + -4.905x2 + 4.905x2

Combine like terms: 12 + -12 = 0
-7 + -16x + 4.905x2 = 0 + 18x + -18x + -4.905x2 + 4.905x2
-7 + -16x + 4.905x2 = 18x + -18x + -4.905x2 + 4.905x2

Combine like terms: 18x + -18x = 0
-7 + -16x + 4.905x2 = 0 + -4.905x2 + 4.905x2
-7 + -16x + 4.905x2 = -4.905x2 + 4.905x2

Combine like terms: -4.905x2 + 4.905x2 = 0.000
-7 + -16x + 4.905x2 = 0.000

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

Divide each side by '4.905'.
-1.427115189 + -3.261977574x + x2 = 0

Move the constant term to the right:

Add '1.427115189' to each side of the equation.
-1.427115189 + -3.261977574x + 1.427115189 + x2 = 0 + 1.427115189

Reorder the terms:
-1.427115189 + 1.427115189 + -3.261977574x + x2 = 0 + 1.427115189

Combine like terms: -1.427115189 + 1.427115189 = 0.000000000
0.000000000 + -3.261977574x + x2 = 0 + 1.427115189
-3.261977574x + x2 = 0 + 1.427115189

Combine like terms: 0 + 1.427115189 = 1.427115189
-3.261977574x + x2 = 1.427115189

The x term is -3.261977574x.  Take half its coefficient (-1.630988787).
Square it (2.660124423) and add it to both sides.

Add '2.660124423' to each side of the equation.
-3.261977574x + 2.660124423 + x2 = 1.427115189 + 2.660124423

Reorder the terms:
2.660124423 + -3.261977574x + x2 = 1.427115189 + 2.660124423

Combine like terms: 1.427115189 + 2.660124423 = 4.087239612
2.660124423 + -3.261977574x + x2 = 4.087239612

Factor a perfect square on the left side:
(x + -1.630988787)(x + -1.630988787) = 4.087239612

Calculate the square root of the right side: 2.021692264

Break this problem into two subproblems by setting 
(x + -1.630988787) equal to 2.021692264 and -2.021692264.


Subproblem 1
x + -1.630988787 = 2.021692264

Simplifying
x + -1.630988787 = 2.021692264

Reorder the terms:
-1.630988787 + x = 2.021692264

Solving
-1.630988787 + x = 2.021692264

Solving for variable 'x'.

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

Add '1.630988787' to each side of the equation.
-1.630988787 + 1.630988787 + x = 2.021692264 + 1.630988787

Combine like terms: -1.630988787 + 1.630988787 = 0.000000000
0.000000000 + x = 2.021692264 + 1.630988787
x = 2.021692264 + 1.630988787

Combine like terms: 2.021692264 + 1.630988787 = 3.652681051
x = 3.652681051

Simplifying
x = 3.652681051


Subproblem 2
x + -1.630988787 = -2.021692264

Simplifying
x + -1.630988787 = -2.021692264

Reorder the terms:
-1.630988787 + x = -2.021692264

Solving
-1.630988787 + x = -2.021692264

Solving for variable 'x'.

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

Add '1.630988787' to each side of the equation.
-1.630988787 + 1.630988787 + x = -2.021692264 + 1.630988787

Combine like terms: -1.630988787 + 1.630988787 = 0.000000000
0.000000000 + x = -2.021692264 + 1.630988787
x = -2.021692264 + 1.630988787

Combine like terms: -2.021692264 + 1.630988787 = -0.390703477
x = -0.390703477

Simplifying
x = -0.390703477


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.652681051, -0.390703477}

See similar equations:

| a=(x+22)(x+18) | | -20x-4y=-6 | | 21+6x=-11-14x | | 0=cos(ln(x)) | | (x+13)(4x+1)= | | 3(2x+4)=23 | | 8x+5y+2.2=14.47 | | 5x^2-70x+258=0 | | 0=3y+7x-6 | | x^4-2x^2-54=0 | | x-2.5=0 | | 9(5x+3)=342 | | 2(1x+4)+6=22 | | 8x+5y+2.2=6x+7y | | 6.28+8.64= | | 8.64+6.15= | | m^2-32=4m | | 10x-9=9x+10 | | -3(x-3)+2(3x-2)=14 | | 0.1y^2=10 | | 2.5+6.4= | | T-t=20 | | log(6x-7)-log(x-5)=1 | | 3y^2+6y-35=0 | | 2.8+6.1= | | logx=.3344 | | 9.75=3.5k | | -4(8n-2)=104 | | 5.3+6.4= | | a+20=2a-50 | | 1.2+2.6= | | 4.5g=9 |

Equations solver categories