3(x^2+16x+64)=60

Simple and best practice solution for 3(x^2+16x+64)=60 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(x^2+16x+64)=60 equation: 


Simplifying
3(x2 + 16x + 64) = 60

Reorder the terms:
3(64 + 16x + x2) = 60
(64 * 3 + 16x * 3 + x2 * 3) = 60
(192 + 48x + 3x2) = 60

Solving
192 + 48x + 3x2 = 60

Solving for variable 'x'.

Reorder the terms:
192 + -60 + 48x + 3x2 = 60 + -60

Combine like terms: 192 + -60 = 132
132 + 48x + 3x2 = 60 + -60

Combine like terms: 60 + -60 = 0
132 + 48x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(44 + 16x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(44 + 16x + x2)' equal to zero and attempt to solve:

Simplifying
44 + 16x + x2 = 0

Solving
44 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + 16x + -44 + x2 = 0 + -44

Reorder the terms:
44 + -44 + 16x + x2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 16x + x2 = 0 + -44
16x + x2 = 0 + -44

Combine like terms: 0 + -44 = -44
16x + x2 = -44

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -44 + 64

Reorder the terms:
64 + 16x + x2 = -44 + 64

Combine like terms: -44 + 64 = 20
64 + 16x + x2 = 20

Factor a perfect square on the left side:
(x + 8)(x + 8) = 20

Calculate the square root of the right side: 4.472135955

Break this problem into two subproblems by setting 
(x + 8) equal to 4.472135955 and -4.472135955.


Subproblem 1
x + 8 = 4.472135955

Simplifying
x + 8 = 4.472135955

Reorder the terms:
8 + x = 4.472135955

Solving
8 + x = 4.472135955

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = 4.472135955 + -8

Combine like terms: 8 + -8 = 0
0 + x = 4.472135955 + -8
x = 4.472135955 + -8

Combine like terms: 4.472135955 + -8 = -3.527864045
x = -3.527864045

Simplifying
x = -3.527864045


Subproblem 2
x + 8 = -4.472135955

Simplifying
x + 8 = -4.472135955

Reorder the terms:
8 + x = -4.472135955

Solving
8 + x = -4.472135955

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + x = -4.472135955 + -8

Combine like terms: 8 + -8 = 0
0 + x = -4.472135955 + -8
x = -4.472135955 + -8

Combine like terms: -4.472135955 + -8 = -12.472135955
x = -12.472135955

Simplifying
x = -12.472135955


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-3.527864045, -12.472135955}
Solution
x = {-3.527864045, -12.472135955}

See similar equations:

| 3.5m+18=6m+3 | | -20.4=k+7.8 | | 2(x+8)=10x-16 | | -2(t-5)+4t=9t-7 | | 2(x+1)=2x-8 | | a-5=-14 | | 16-(7p-11)=9p-5 | | 3(x+5)=8x-15 | | -8+4r=4(5-6r) | | 7a+12=-30 | | 8y+6=7y-2 | | (4+8i)+(2+6i)= | | 5-8m=7-7m | | 2(3x+1)=5x+6 | | y=234x+30 | | 5y-4=-4 | | (x-26)=155 | | x^2+4x-9=11x-1 | | 9y=4y+1 | | .072v+.063=.104v-.093 | | X=2.16+-0.5y | | 9y+4y+1=180 | | 7(x-4)=2(x+1) | | 25y^2-80y+28=0 | | [9(a+5)-15]+[3(a-3)+5]= | | a+3.1=6.6+-4a | | 3(r-4)=6 | | (x+3)+(x-8)+x=55 | | 12-(4x-6)=3x-(9x-27) | | 22=2b+5 | | 6x+6=-5y | | 1-4(2x-7)=93 |

Equations solver categories