(4+8)8=(z+12)z

Simple and best practice solution for (4+8)8=(z+12)z 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 (4+8)8=(z+12)z equation:


Simplifying
(4 + 8) * 8 = (z + 12) * z

Combine like terms: 4 + 8 = 12
(12) * 8 = (z + 12) * z

Multiply 12 * 8
96 = (z + 12) * z

Reorder the terms:
96 = (12 + z) * z

Reorder the terms for easier multiplication:
96 = z(12 + z)
96 = (12 * z + z * z)
96 = (12z + z2)

Solving
96 = 12z + z2

Solving for variable 'z'.

Reorder the terms:
96 + -12z + -1z2 = 12z + -12z + z2 + -1z2

Combine like terms: 12z + -12z = 0
96 + -12z + -1z2 = 0 + z2 + -1z2
96 + -12z + -1z2 = z2 + -1z2

Combine like terms: z2 + -1z2 = 0
96 + -12z + -1z2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-96 + 12z + z2 = 0

Move the constant term to the right:

Add '96' to each side of the equation.
-96 + 12z + 96 + z2 = 0 + 96

Reorder the terms:
-96 + 96 + 12z + z2 = 0 + 96

Combine like terms: -96 + 96 = 0
0 + 12z + z2 = 0 + 96
12z + z2 = 0 + 96

Combine like terms: 0 + 96 = 96
12z + z2 = 96

The z term is 12z.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12z + 36 + z2 = 96 + 36

Reorder the terms:
36 + 12z + z2 = 96 + 36

Combine like terms: 96 + 36 = 132
36 + 12z + z2 = 132

Factor a perfect square on the left side:
(z + 6)(z + 6) = 132

Calculate the square root of the right side: 11.489125293

Break this problem into two subproblems by setting 
(z + 6) equal to 11.489125293 and -11.489125293.

Subproblem 1

z + 6 = 11.489125293 Simplifying z + 6 = 11.489125293 Reorder the terms: 6 + z = 11.489125293 Solving 6 + z = 11.489125293 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z = 11.489125293 + -6 Combine like terms: 6 + -6 = 0 0 + z = 11.489125293 + -6 z = 11.489125293 + -6 Combine like terms: 11.489125293 + -6 = 5.489125293 z = 5.489125293 Simplifying z = 5.489125293

Subproblem 2

z + 6 = -11.489125293 Simplifying z + 6 = -11.489125293 Reorder the terms: 6 + z = -11.489125293 Solving 6 + z = -11.489125293 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z = -11.489125293 + -6 Combine like terms: 6 + -6 = 0 0 + z = -11.489125293 + -6 z = -11.489125293 + -6 Combine like terms: -11.489125293 + -6 = -17.489125293 z = -17.489125293 Simplifying z = -17.489125293

Solution

The solution to the problem is based on the solutions from the subproblems. z = {5.489125293, -17.489125293}

See similar equations:

| v+(4/5)=(1/3) | | 7a/6/5a/6 | | -6x-16=8 | | a-4=16 | | 105+86+x+67=360 | | f(x)=(x-6)(x+3) | | -50+3x=-11 | | 7n-9=2n+3 | | -8=10+B | | 738(200-w)+1062(200-w)=9 | | 101+2x+85+x=360 | | 3(k+5)=4k+10-k+5 | | -8y-27-4-4y=44+3y | | -15x=-11 | | -10x^2+10x+7=0 | | 2x+2y=45 | | 14+4x=26 | | ((x^2-16)/(9-x)) | | 7x-10=2x+1/2 | | 7x-10=2x+1/2 | | 7x-10=2x+1/2 | | 4x+8+x=44 | | x^2-4x+4y-4=0 | | y^2-12y-x^2-2x+31=0 | | x/-12=-156 | | -17-17x=10x-3 | | (2x+4y)dx+(2x-2y)dy=0 | | 8-48y=8-48y | | 5x+8/3x=26+6x | | x(x+1)(x+2)(x+3)-24=0 | | X-2(4-x)=3x+4 | | 2-7(11)=-75 |

Equations solver categories