3x(x+4)=5-(5[x+2])

Simple and best practice solution for 3x(x+4)=5-(5[x+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 3x(x+4)=5-(5[x+2]) equation:


Simplifying
3x(x + 4) = 5 + -1(5[x + 2])

Reorder the terms:
3x(4 + x) = 5 + -1(5[x + 2])
(4 * 3x + x * 3x) = 5 + -1(5[x + 2])
(12x + 3x2) = 5 + -1(5[x + 2])

Reorder the terms:
12x + 3x2 = 5 + -1(5[2 + x])
12x + 3x2 = 5 + -1([2 * 5 + x * 5])
12x + 3x2 = 5 + -1([10 + 5x])
12x + 3x2 = 5 + (10 * -1 + 5x * -1)
12x + 3x2 = 5 + (-10 + -5x)

Combine like terms: 5 + -10 = -5
12x + 3x2 = -5 + -5x

Solving
12x + 3x2 = -5 + -5x

Solving for variable 'x'.

Reorder the terms:
5 + 12x + 5x + 3x2 = -5 + -5x + 5 + 5x

Combine like terms: 12x + 5x = 17x
5 + 17x + 3x2 = -5 + -5x + 5 + 5x

Reorder the terms:
5 + 17x + 3x2 = -5 + 5 + -5x + 5x

Combine like terms: -5 + 5 = 0
5 + 17x + 3x2 = 0 + -5x + 5x
5 + 17x + 3x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 17x + 3x2 = 0

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

Divide each side by '3'.
1.666666667 + 5.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 5.666666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 5.666666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 5.666666667x + x2 = 0 + -1.666666667
5.666666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
5.666666667x + x2 = -1.666666667

The x term is 5.666666667x.  Take half its coefficient (2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
5.666666667x + 8.027777782 + x2 = -1.666666667 + 8.027777782

Reorder the terms:
8.027777782 + 5.666666667x + x2 = -1.666666667 + 8.027777782

Combine like terms: -1.666666667 + 8.027777782 = 6.361111115
8.027777782 + 5.666666667x + x2 = 6.361111115

Factor a perfect square on the left side:
(x + 2.833333334)(x + 2.833333334) = 6.361111115

Calculate the square root of the right side: 2.522124326

Break this problem into two subproblems by setting 
(x + 2.833333334) equal to 2.522124326 and -2.522124326.

Subproblem 1

x + 2.833333334 = 2.522124326 Simplifying x + 2.833333334 = 2.522124326 Reorder the terms: 2.833333334 + x = 2.522124326 Solving 2.833333334 + x = 2.522124326 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.833333334' to each side of the equation. 2.833333334 + -2.833333334 + x = 2.522124326 + -2.833333334 Combine like terms: 2.833333334 + -2.833333334 = 0.000000000 0.000000000 + x = 2.522124326 + -2.833333334 x = 2.522124326 + -2.833333334 Combine like terms: 2.522124326 + -2.833333334 = -0.311209008 x = -0.311209008 Simplifying x = -0.311209008

Subproblem 2

x + 2.833333334 = -2.522124326 Simplifying x + 2.833333334 = -2.522124326 Reorder the terms: 2.833333334 + x = -2.522124326 Solving 2.833333334 + x = -2.522124326 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.833333334' to each side of the equation. 2.833333334 + -2.833333334 + x = -2.522124326 + -2.833333334 Combine like terms: 2.833333334 + -2.833333334 = 0.000000000 0.000000000 + x = -2.522124326 + -2.833333334 x = -2.522124326 + -2.833333334 Combine like terms: -2.522124326 + -2.833333334 = -5.35545766 x = -5.35545766 Simplifying x = -5.35545766

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.311209008, -5.35545766}

See similar equations:

| 9=3+u | | 12y^2-4th=0 | | 1/2(8n+3)=45 | | 19-(-10)= | | 3z-6-x+4=0 | | (3x+10y)-(x+2y)= | | +7-(+9)= | | 1/2(7n+8)=45 | | 2u+16=38 | | 4n-3+5n=n+5+6n | | 2b/3+6=23 | | -2+15=10-(-4g+1) | | (2x/5)+(3x/7)=1 | | 4x+2-3=0 | | 111-x=201 | | -75-50= | | 4x+81=9(x+9)-5x | | 15+(-65)= | | -x-1/3=4/5 | | 65-2x=3x+10x | | 6-2(5-4x)-6x+2= | | 70.448=-25.16 | | 1/5+17/20= | | 25-(-14)= | | 3x+12=-7 | | r^2-2r-63= | | -7-(8)= | | x^2-6x-6y+39=0 | | 360/60= | | -10-(4)= | | 9/x=5/300 | | 6+2m=6(1+4m) |

Equations solver categories