(3x+4)2=3x(3x+6)

Simple and best practice solution for (3x+4)2=3x(3x+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 (3x+4)2=3x(3x+6) equation:


Simplifying
(3x + 4) * 2 = 3x(3x + 6)

Reorder the terms:
(4 + 3x) * 2 = 3x(3x + 6)

Reorder the terms for easier multiplication:
2(4 + 3x) = 3x(3x + 6)
(4 * 2 + 3x * 2) = 3x(3x + 6)
(8 + 6x) = 3x(3x + 6)

Reorder the terms:
8 + 6x = 3x(6 + 3x)
8 + 6x = (6 * 3x + 3x * 3x)
8 + 6x = (18x + 9x2)

Solving
8 + 6x = 18x + 9x2

Solving for variable 'x'.

Combine like terms: 6x + -18x = -12x
8 + -12x + -9x2 = 18x + 9x2 + -18x + -9x2

Reorder the terms:
8 + -12x + -9x2 = 18x + -18x + 9x2 + -9x2

Combine like terms: 18x + -18x = 0
8 + -12x + -9x2 = 0 + 9x2 + -9x2
8 + -12x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
8 + -12x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-0.8888888889 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '0.8888888889' to each side of the equation.
-0.8888888889 + 1.333333333x + 0.8888888889 + x2 = 0 + 0.8888888889

Reorder the terms:
-0.8888888889 + 0.8888888889 + 1.333333333x + x2 = 0 + 0.8888888889

Combine like terms: -0.8888888889 + 0.8888888889 = 0.0000000000
0.0000000000 + 1.333333333x + x2 = 0 + 0.8888888889
1.333333333x + x2 = 0 + 0.8888888889

Combine like terms: 0 + 0.8888888889 = 0.8888888889
1.333333333x + x2 = 0.8888888889

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = 0.8888888889 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = 0.8888888889 + 0.4444444442

Combine like terms: 0.8888888889 + 0.4444444442 = 1.3333333331
0.4444444442 + 1.333333333x + x2 = 1.3333333331

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = 1.3333333331

Calculate the square root of the right side: 1.154700538

Break this problem into two subproblems by setting 
(x + 0.6666666665) equal to 1.154700538 and -1.154700538.

Subproblem 1

x + 0.6666666665 = 1.154700538 Simplifying x + 0.6666666665 = 1.154700538 Reorder the terms: 0.6666666665 + x = 1.154700538 Solving 0.6666666665 + x = 1.154700538 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = 1.154700538 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = 1.154700538 + -0.6666666665 x = 1.154700538 + -0.6666666665 Combine like terms: 1.154700538 + -0.6666666665 = 0.4880338715 x = 0.4880338715 Simplifying x = 0.4880338715

Subproblem 2

x + 0.6666666665 = -1.154700538 Simplifying x + 0.6666666665 = -1.154700538 Reorder the terms: 0.6666666665 + x = -1.154700538 Solving 0.6666666665 + x = -1.154700538 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6666666665' to each side of the equation. 0.6666666665 + -0.6666666665 + x = -1.154700538 + -0.6666666665 Combine like terms: 0.6666666665 + -0.6666666665 = 0.0000000000 0.0000000000 + x = -1.154700538 + -0.6666666665 x = -1.154700538 + -0.6666666665 Combine like terms: -1.154700538 + -0.6666666665 = -1.8213672045 x = -1.8213672045 Simplifying x = -1.8213672045

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.4880338715, -1.8213672045}

See similar equations:

| 2n(6n-8)= | | -7x+63=-14 | | 6-8x=5(2x-1) | | 4z+1+5-z= | | 6x+5x+4=37 | | 400+20n=680 | | 2x-10=16-6x | | 1-5y=-39 | | 0=x^3-12x^2+108 | | -26=2(x-6) | | 3x+22=x-26 | | 19-8e=3 | | 4x=28-y | | y=x^3-x^2-16x+16 | | 20=3w+5 | | 12=x+(x-2) | | -19=2-7x | | 24=x+(2-2) | | 20=3w+4 | | 2(3)+3y=-6 | | .5y+7=x | | 12x-6=8x+40 | | 7=19-4n | | 6x+17=-2x-15 | | M-5=250 | | (-2x+1)(-5x+7)=0 | | 23-9x=36-8x | | j=16 | | 0.11x+0.4(x-4)=.01(4x-3) | | b=2-5*(-1) | | -3(x+1)-7=2x | | 59+8X=62+5X |

Equations solver categories