3x(2x+7)=3

Simple and best practice solution for 3x(2x+7)=3 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 3x(2x+7)=3 equation: 


Simplifying
3x(2x + 7) = 3

Reorder the terms:
3x(7 + 2x) = 3
(7 * 3x + 2x * 3x) = 3
(21x + 6x2) = 3

Solving
21x + 6x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + 21x + 6x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 21x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 7x + 2x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1 + 7x + 2x2)' equal to zero and attempt to solve:

Simplifying
-1 + 7x + 2x2 = 0

Solving
-1 + 7x + 2x2 = 0

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

Divide each side by '2'.
-0.5 + 3.5x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 3.5x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 3.5x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 3.5x + x2 = 0 + 0.5
3.5x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
3.5x + x2 = 0.5

The x term is 3.5x.  Take half its coefficient (1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
3.5x + 3.0625 + x2 = 0.5 + 3.0625

Reorder the terms:
3.0625 + 3.5x + x2 = 0.5 + 3.0625

Combine like terms: 0.5 + 3.0625 = 3.5625
3.0625 + 3.5x + x2 = 3.5625

Factor a perfect square on the left side:
(x + 1.75)(x + 1.75) = 3.5625

Calculate the square root of the right side: 1.887458609

Break this problem into two subproblems by setting 
(x + 1.75) equal to 1.887458609 and -1.887458609.


Subproblem 1
x + 1.75 = 1.887458609

Simplifying
x + 1.75 = 1.887458609

Reorder the terms:
1.75 + x = 1.887458609

Solving
1.75 + x = 1.887458609

Solving for variable 'x'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + x = 1.887458609 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + x = 1.887458609 + -1.75
x = 1.887458609 + -1.75

Combine like terms: 1.887458609 + -1.75 = 0.137458609
x = 0.137458609

Simplifying
x = 0.137458609


Subproblem 2
x + 1.75 = -1.887458609

Simplifying
x + 1.75 = -1.887458609

Reorder the terms:
1.75 + x = -1.887458609

Solving
1.75 + x = -1.887458609

Solving for variable 'x'.

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

Add '-1.75' to each side of the equation.
1.75 + -1.75 + x = -1.887458609 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + x = -1.887458609 + -1.75
x = -1.887458609 + -1.75

Combine like terms: -1.887458609 + -1.75 = -3.637458609
x = -3.637458609

Simplifying
x = -3.637458609


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.137458609, -3.637458609}
Solution
x = {0.137458609, -3.637458609}

See similar equations:

| 21x-63=2(14x-31)+6 | | 265-60-d/5=330 | | 36y^2-540y+1944=0 | | 2x(11x+3)34= | | (2p2+7p-39)/(2p-7) | | 4/x=20/40 | | B=1000(1+0.02)10 | | 4(3x-6)=96 | | 1/4z+3/4=-3/4z+1/2 | | n/3=10/15 | | 5c/8-3c/8 | | 1/3+1/7 | | -2x*x+50=10 | | 5(7x-10)=265 | | 2k+3.3=1 | | 3=0(7)+b | | 5x*x-15=45 | | 12x^2-x-13=0 | | 4z+1-z=5+2z-3 | | -6x^6-24x^5+192x^4= | | x^2+26x-334=0 | | 3(k+2)=3k+6 | | 7(6x-8)=196 | | (P3-10p2+20p+26)/(p-5) | | x/3+3=9 | | (H+7)(h-5)=0 | | 10+7x=4x-11 | | x-1=-5x+41 | | .4c=68 | | x/6-4=-9 | | 3/5(2/3b+4)+b=15 | | -7x+10=-8+2x |

Equations solver categories