3(x+3)(x+6)=60

Simple and best practice solution for 3(x+3)(x+6)=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+3)(x+6)=60 equation:


Simplifying
3(x + 3)(x + 6) = 60

Reorder the terms:
3(3 + x)(x + 6) = 60

Reorder the terms:
3(3 + x)(6 + x) = 60

Multiply (3 + x) * (6 + x)
3(3(6 + x) + x(6 + x)) = 60
3((6 * 3 + x * 3) + x(6 + x)) = 60
3((18 + 3x) + x(6 + x)) = 60
3(18 + 3x + (6 * x + x * x)) = 60
3(18 + 3x + (6x + x2)) = 60

Combine like terms: 3x + 6x = 9x
3(18 + 9x + x2) = 60
(18 * 3 + 9x * 3 + x2 * 3) = 60
(54 + 27x + 3x2) = 60

Solving
54 + 27x + 3x2 = 60

Solving for variable 'x'.

Reorder the terms:
54 + -60 + 27x + 3x2 = 60 + -60

Combine like terms: 54 + -60 = -6
-6 + 27x + 3x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-6 + 27x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 9x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + 9x + x2)' equal to zero and attempt to solve: Simplifying -2 + 9x + x2 = 0 Solving -2 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + 9x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 9x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9x + x2 = 0 + 2 9x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 9x + x2 = 2 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = 2 + 20.25 Reorder the terms: 20.25 + 9x + x2 = 2 + 20.25 Combine like terms: 2 + 20.25 = 22.25 20.25 + 9x + x2 = 22.25 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = 22.25 Calculate the square root of the right side: 4.716990566 Break this problem into two subproblems by setting (x + 4.5) equal to 4.716990566 and -4.716990566.

Subproblem 1

x + 4.5 = 4.716990566 Simplifying x + 4.5 = 4.716990566 Reorder the terms: 4.5 + x = 4.716990566 Solving 4.5 + x = 4.716990566 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = 4.716990566 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = 4.716990566 + -4.5 x = 4.716990566 + -4.5 Combine like terms: 4.716990566 + -4.5 = 0.216990566 x = 0.216990566 Simplifying x = 0.216990566

Subproblem 2

x + 4.5 = -4.716990566 Simplifying x + 4.5 = -4.716990566 Reorder the terms: 4.5 + x = -4.716990566 Solving 4.5 + x = -4.716990566 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + x = -4.716990566 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + x = -4.716990566 + -4.5 x = -4.716990566 + -4.5 Combine like terms: -4.716990566 + -4.5 = -9.216990566 x = -9.216990566 Simplifying x = -9.216990566

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.216990566, -9.216990566}

Solution

x = {0.216990566, -9.216990566}

See similar equations:

| 4(x5)=88/11 | | (4y+11)(6y-2y-8)= | | 3s-10=8 | | 3x^7y^5+27x^5y^4+18xy= | | -8z-3z=7z-6+4z | | 2x-4y=21 | | -1(5)+4(-1)(1-5)+2(-1)= | | m-8m-9m-6= | | 8x^2-43x-21=0 | | 4(x-3)-20=3 | | 2a+2b=50 | | (8/y^4)(2y^7)^6 | | 4x+1=-x-16 | | sin(2x)*sin(x)=cos(x) | | .25=x/40 | | 6x+y^2=356 | | 6.05+5x=-2.4 | | 11/2x-3/2=4/2 | | T=Q+Qrt | | 6x^2-27x+21=0 | | 2(10)-3(10+5)-15= | | (4v+6)(9-v)=0 | | 2sinx^2+sinx-1=0 | | 9x+9y=54 | | 6.1x-1.8=22.6 | | f(x)=2x-12 | | 2x-2y=180 | | 5x+2(x-20)=352 | | 8x+19=9x+7 | | 5x+6(x-20)=485 | | y=30Q-5Q^2-2 | | 3(-5)+5(-5+9)-4(-5)= |

Equations solver categories