37=-3+5x(x+6)

Simple and best practice solution for 37=-3+5x(x+6) 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 37=-3+5x(x+6) equation: 


Simplifying
37 = -3 + 5x(x + 6)

Reorder the terms:
37 = -3 + 5x(6 + x)
37 = -3 + (6 * 5x + x * 5x)
37 = -3 + (30x + 5x2)

Solving
37 = -3 + 30x + 5x2

Solving for variable 'x'.

Combine like terms: 37 + 3 = 40
40 + -30x + -5x2 = -3 + 30x + 5x2 + 3 + -30x + -5x2

Reorder the terms:
40 + -30x + -5x2 = -3 + 3 + 30x + -30x + 5x2 + -5x2

Combine like terms: -3 + 3 = 0
40 + -30x + -5x2 = 0 + 30x + -30x + 5x2 + -5x2
40 + -30x + -5x2 = 30x + -30x + 5x2 + -5x2

Combine like terms: 30x + -30x = 0
40 + -30x + -5x2 = 0 + 5x2 + -5x2
40 + -30x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
40 + -30x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(8 + -6x + -1x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(8 + -6x + -1x2)' equal to zero and attempt to solve:

Simplifying
8 + -6x + -1x2 = 0

Solving
8 + -6x + -1x2 = 0

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

Divide each side by '-1'.
-8 + 6x + x2 = 0

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + 6x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + 6x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6x + x2 = 0 + 8
6x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
6x + x2 = 8

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = 8 + 9

Reorder the terms:
9 + 6x + x2 = 8 + 9

Combine like terms: 8 + 9 = 17
9 + 6x + x2 = 17

Factor a perfect square on the left side:
(x + 3)(x + 3) = 17

Calculate the square root of the right side: 4.123105626

Break this problem into two subproblems by setting 
(x + 3) equal to 4.123105626 and -4.123105626.


Subproblem 1
x + 3 = 4.123105626

Simplifying
x + 3 = 4.123105626

Reorder the terms:
3 + x = 4.123105626

Solving
3 + x = 4.123105626

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = 4.123105626 + -3

Combine like terms: 3 + -3 = 0
0 + x = 4.123105626 + -3
x = 4.123105626 + -3

Combine like terms: 4.123105626 + -3 = 1.123105626
x = 1.123105626

Simplifying
x = 1.123105626


Subproblem 2
x + 3 = -4.123105626

Simplifying
x + 3 = -4.123105626

Reorder the terms:
3 + x = -4.123105626

Solving
3 + x = -4.123105626

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + x = -4.123105626 + -3

Combine like terms: 3 + -3 = 0
0 + x = -4.123105626 + -3
x = -4.123105626 + -3

Combine like terms: -4.123105626 + -3 = -7.123105626
x = -7.123105626

Simplifying
x = -7.123105626


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.123105626, -7.123105626}
Solution
x = {1.123105626, -7.123105626}

See similar equations:

| 1b+10O=90 | | 4(2x-1)=26x-2x | | 4=-6n+4 | | 7y=18+4y | | 4[5(12+3)-2]-7=d | | 3(-5-3)+2y=26 | | 15ln(1-x)=2 | | -7x-2=68 | | 2(5m-4)m=-2 | | -83=-5-6x | | 5y+1=2y-8 | | -5(n+2)=19 | | 7.5=6r | | -37=2x-7 | | -9p-7=10 | | -9x=228 | | 5x+9=4(x-3) | | -72=-6b | | 22=-6n-2 | | 62-2x=186 | | -7(v-9)=84 | | V=64 | | 30+2u=8u | | 2a+4b+3c=170 | | 1-8v=57 | | 7[x-5]=28 | | 14-2(x+8)=5x+(3x-34) | | -3(-c)= | | 8+8k=32 | | 7x=48-x | | -8x-4=-4 | | 3T^2+6T-2= |

Equations solver categories