732=4x(x+17)

Simple and best practice solution for 732=4x(x+17) 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 732=4x(x+17) equation: 


Simplifying
732 = 4x(x + 17)

Reorder the terms:
732 = 4x(17 + x)
732 = (17 * 4x + x * 4x)
732 = (68x + 4x2)

Solving
732 = 68x + 4x2

Solving for variable 'x'.

Reorder the terms:
732 + -68x + -4x2 = 68x + -68x + 4x2 + -4x2

Combine like terms: 68x + -68x = 0
732 + -68x + -4x2 = 0 + 4x2 + -4x2
732 + -68x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
732 + -68x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(183 + -17x + -1x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(183 + -17x + -1x2)' equal to zero and attempt to solve:

Simplifying
183 + -17x + -1x2 = 0

Solving
183 + -17x + -1x2 = 0

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

Divide each side by '-1'.
-183 + 17x + x2 = 0

Move the constant term to the right:

Add '183' to each side of the equation.
-183 + 17x + 183 + x2 = 0 + 183

Reorder the terms:
-183 + 183 + 17x + x2 = 0 + 183

Combine like terms: -183 + 183 = 0
0 + 17x + x2 = 0 + 183
17x + x2 = 0 + 183

Combine like terms: 0 + 183 = 183
17x + x2 = 183

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = 183 + 72.25

Reorder the terms:
72.25 + 17x + x2 = 183 + 72.25

Combine like terms: 183 + 72.25 = 255.25
72.25 + 17x + x2 = 255.25

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = 255.25

Calculate the square root of the right side: 15.976545309

Break this problem into two subproblems by setting 
(x + 8.5) equal to 15.976545309 and -15.976545309.


Subproblem 1
x + 8.5 = 15.976545309

Simplifying
x + 8.5 = 15.976545309

Reorder the terms:
8.5 + x = 15.976545309

Solving
8.5 + x = 15.976545309

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = 15.976545309 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = 15.976545309 + -8.5
x = 15.976545309 + -8.5

Combine like terms: 15.976545309 + -8.5 = 7.476545309
x = 7.476545309

Simplifying
x = 7.476545309


Subproblem 2
x + 8.5 = -15.976545309

Simplifying
x + 8.5 = -15.976545309

Reorder the terms:
8.5 + x = -15.976545309

Solving
8.5 + x = -15.976545309

Solving for variable 'x'.

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

Add '-8.5' to each side of the equation.
8.5 + -8.5 + x = -15.976545309 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + x = -15.976545309 + -8.5
x = -15.976545309 + -8.5

Combine like terms: -15.976545309 + -8.5 = -24.476545309
x = -24.476545309

Simplifying
x = -24.476545309


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.476545309, -24.476545309}
Solution
x = {7.476545309, -24.476545309}

See similar equations:

| -5(-2x-3)-4x-2=5 | | 16r^2+32r+25=0 | | 8x+10=5x+17 | | 5-10y=2y+50 | | 16r^2+32r+25=o | | 15t+30=40t+15m | | 75=3n+9c | | -7(9x-4)=4x | | p^2-11p+22=-2 | | 8x-4=9x-8x | | 5SIN(X)=7 | | 3.2a+5.8a+6=3+12 | | 8=9sin(8x) | | -28=z | | 5(-5x-1)=-6x+7 | | 18=3x-2+8x+7 | | 4+2h=3 | | 22=10x+2 | | 13x-9=16x-15 | | -c+2c=3 | | -6(-5+6x)=-42 | | .5y+.35=.8 | | X=-15-2y | | 100r^2+200r+144=0 | | -3(4+7x)=-138 | | 6q-24+10q=18 | | -3x-11=7x+19 | | n+3=.7 | | -3(-7x+8)=228 | | -5(X+2)-3x=2(X+5) | | 5[3d+5f+7]= | | 2x^3+7x^2-4=10 |

Equations solver categories