(3x-1)(2x+4)=9x

Simple and best practice solution for (3x-1)(2x+4)=9x 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-1)(2x+4)=9x equation:


Simplifying
(3x + -1)(2x + 4) = 9x

Reorder the terms:
(-1 + 3x)(2x + 4) = 9x

Reorder the terms:
(-1 + 3x)(4 + 2x) = 9x

Multiply (-1 + 3x) * (4 + 2x)
(-1(4 + 2x) + 3x * (4 + 2x)) = 9x
((4 * -1 + 2x * -1) + 3x * (4 + 2x)) = 9x
((-4 + -2x) + 3x * (4 + 2x)) = 9x
(-4 + -2x + (4 * 3x + 2x * 3x)) = 9x
(-4 + -2x + (12x + 6x2)) = 9x

Combine like terms: -2x + 12x = 10x
(-4 + 10x + 6x2) = 9x

Solving
-4 + 10x + 6x2 = 9x

Solving for variable 'x'.

Reorder the terms:
-4 + 10x + -9x + 6x2 = 9x + -9x

Combine like terms: 10x + -9x = 1x
-4 + 1x + 6x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 1x + 6x2 = 0

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

Divide each side by '6'.
-0.6666666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 0.1666666667x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 0.1666666667x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 0.1666666667x + x2 = 0 + 0.6666666667
0.1666666667x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
0.1666666667x + x2 = 0.6666666667

The x term is 0.1666666667x.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667x + 0.006944444447 + x2 = 0.6666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667x + x2 = 0.6666666667 + 0.006944444447

Combine like terms: 0.6666666667 + 0.006944444447 = 0.673611111147
0.006944444447 + 0.1666666667x + x2 = 0.673611111147

Factor a perfect square on the left side:
(x + 0.08333333335)(x + 0.08333333335) = 0.673611111147

Calculate the square root of the right side: 0.82073815

Break this problem into two subproblems by setting 
(x + 0.08333333335) equal to 0.82073815 and -0.82073815.

Subproblem 1

x + 0.08333333335 = 0.82073815 Simplifying x + 0.08333333335 = 0.82073815 Reorder the terms: 0.08333333335 + x = 0.82073815 Solving 0.08333333335 + x = 0.82073815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08333333335' to each side of the equation. 0.08333333335 + -0.08333333335 + x = 0.82073815 + -0.08333333335 Combine like terms: 0.08333333335 + -0.08333333335 = 0.00000000000 0.00000000000 + x = 0.82073815 + -0.08333333335 x = 0.82073815 + -0.08333333335 Combine like terms: 0.82073815 + -0.08333333335 = 0.73740481665 x = 0.73740481665 Simplifying x = 0.73740481665

Subproblem 2

x + 0.08333333335 = -0.82073815 Simplifying x + 0.08333333335 = -0.82073815 Reorder the terms: 0.08333333335 + x = -0.82073815 Solving 0.08333333335 + x = -0.82073815 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08333333335' to each side of the equation. 0.08333333335 + -0.08333333335 + x = -0.82073815 + -0.08333333335 Combine like terms: 0.08333333335 + -0.08333333335 = 0.00000000000 0.00000000000 + x = -0.82073815 + -0.08333333335 x = -0.82073815 + -0.08333333335 Combine like terms: -0.82073815 + -0.08333333335 = -0.90407148335 x = -0.90407148335 Simplifying x = -0.90407148335

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.73740481665, -0.90407148335}

See similar equations:

| -13+25=-4(x+3) | | 8a+3b=-47 | | (4t)-10=6+4t | | 4(3-d)=-(d+5) | | f(t)=37.4+0.3t-0.01t^2 | | -0.10(25)+0.35x=0.05(x-2) | | 3y+3=4 | | 8x+72y=-16 | | 3m^2-7m-10=0 | | m^2-4m+9=0 | | -2z+9z=2z+3+8z | | 4(x-8)+5=-27 | | 9x+12-30= | | 21x^2-2000+19500=0 | | 3(2t-1)=-3 | | -2z+9=2z+3+8z | | 2x-1=-2x | | z^2-6z+5=0 | | 3(X)=243 | | 16x^2-576=0 | | 8+6-9x=2-x-15 | | 6y-20=24-4 | | 45x^2-28x+4=0 | | -6z+5z=7z-3+3z | | 3k^2+72=3k | | y=0.1x^2 | | 9x^2+79x-18=0 | | 2(n-3)=3(z+2) | | x^6+65x^3+64=0 | | x(3x-4)=112 | | 5x+7y=150 | | 3q+5q+2q=65 |

Equations solver categories