(7x-1)(2x+1)=2x

Simple and best practice solution for (7x-1)(2x+1)=2x 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 (7x-1)(2x+1)=2x equation:


Simplifying
(7x + -1)(2x + 1) = 2x

Reorder the terms:
(-1 + 7x)(2x + 1) = 2x

Reorder the terms:
(-1 + 7x)(1 + 2x) = 2x

Multiply (-1 + 7x) * (1 + 2x)
(-1(1 + 2x) + 7x * (1 + 2x)) = 2x
((1 * -1 + 2x * -1) + 7x * (1 + 2x)) = 2x
((-1 + -2x) + 7x * (1 + 2x)) = 2x
(-1 + -2x + (1 * 7x + 2x * 7x)) = 2x
(-1 + -2x + (7x + 14x2)) = 2x

Combine like terms: -2x + 7x = 5x
(-1 + 5x + 14x2) = 2x

Solving
-1 + 5x + 14x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-1 + 5x + -2x + 14x2 = 2x + -2x

Combine like terms: 5x + -2x = 3x
-1 + 3x + 14x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 3x + 14x2 = 0

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

Divide each side by '14'.
-0.07142857143 + 0.2142857143x + x2 = 0

Move the constant term to the right:

Add '0.07142857143' to each side of the equation.
-0.07142857143 + 0.2142857143x + 0.07142857143 + x2 = 0 + 0.07142857143

Reorder the terms:
-0.07142857143 + 0.07142857143 + 0.2142857143x + x2 = 0 + 0.07142857143

Combine like terms: -0.07142857143 + 0.07142857143 = 0.00000000000
0.00000000000 + 0.2142857143x + x2 = 0 + 0.07142857143
0.2142857143x + x2 = 0 + 0.07142857143

Combine like terms: 0 + 0.07142857143 = 0.07142857143
0.2142857143x + x2 = 0.07142857143

The x term is 0.2142857143x.  Take half its coefficient (0.1071428572).
Square it (0.01147959185) and add it to both sides.

Add '0.01147959185' to each side of the equation.
0.2142857143x + 0.01147959185 + x2 = 0.07142857143 + 0.01147959185

Reorder the terms:
0.01147959185 + 0.2142857143x + x2 = 0.07142857143 + 0.01147959185

Combine like terms: 0.07142857143 + 0.01147959185 = 0.08290816328
0.01147959185 + 0.2142857143x + x2 = 0.08290816328

Factor a perfect square on the left side:
(x + 0.1071428572)(x + 0.1071428572) = 0.08290816328

Calculate the square root of the right side: 0.287937777

Break this problem into two subproblems by setting 
(x + 0.1071428572) equal to 0.287937777 and -0.287937777.

Subproblem 1

x + 0.1071428572 = 0.287937777 Simplifying x + 0.1071428572 = 0.287937777 Reorder the terms: 0.1071428572 + x = 0.287937777 Solving 0.1071428572 + x = 0.287937777 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1071428572' to each side of the equation. 0.1071428572 + -0.1071428572 + x = 0.287937777 + -0.1071428572 Combine like terms: 0.1071428572 + -0.1071428572 = 0.0000000000 0.0000000000 + x = 0.287937777 + -0.1071428572 x = 0.287937777 + -0.1071428572 Combine like terms: 0.287937777 + -0.1071428572 = 0.1807949198 x = 0.1807949198 Simplifying x = 0.1807949198

Subproblem 2

x + 0.1071428572 = -0.287937777 Simplifying x + 0.1071428572 = -0.287937777 Reorder the terms: 0.1071428572 + x = -0.287937777 Solving 0.1071428572 + x = -0.287937777 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1071428572' to each side of the equation. 0.1071428572 + -0.1071428572 + x = -0.287937777 + -0.1071428572 Combine like terms: 0.1071428572 + -0.1071428572 = 0.0000000000 0.0000000000 + x = -0.287937777 + -0.1071428572 x = -0.287937777 + -0.1071428572 Combine like terms: -0.287937777 + -0.1071428572 = -0.3950806342 x = -0.3950806342 Simplifying x = -0.3950806342

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.1807949198, -0.3950806342}

See similar equations:

| 0.42=log(x) | | 19+3(x+3)=1 | | x^2+-81x=0 | | y=-2/5(-2)+2 | | -3z+4=-5z+8 | | -2x-6x=x-2 | | .87h-.62=2 | | 1/2+x=3/8 | | 19(2r+12)=8(5r-1) | | 7x-y=27 | | x^2+70+1200=0 | | 4x-3(3x-4)=-38 | | -7y=y-12 | | 4.2X-0.44=0.84-2.2X | | -9v+36+2v+5=8v+12 | | 63+x=-17 | | 9x-5(x-5)=4(x-3) | | x^2-49x-156=0 | | 2r+12/8=5r-1/19 | | -14+6+x=-5 | | -9(v+4)+2v+5=8v+12 | | 0.55+.05(12-x)=.10(36) | | 5/8=20/x | | 20m^2=0 | | 3x+33-4x=0 | | 225=5x^3 | | 5/3X+1/3X=3X+8/3+5/3X | | -9-9= | | x^2+58x+840=0 | | 3y/10-4=y/5+4 | | (3,5)y=4/9x-6 | | 5x+6-8x-8=4x+2 |

Equations solver categories