(5x+2)*(x-1)=7x

Simple and best practice solution for (5x+2)*(x-1)=7x 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 (5x+2)*(x-1)=7x equation:


Simplifying
(5x + 2)(x + -1) = 7x

Reorder the terms:
(2 + 5x)(x + -1) = 7x

Reorder the terms:
(2 + 5x)(-1 + x) = 7x

Multiply (2 + 5x) * (-1 + x)
(2(-1 + x) + 5x * (-1 + x)) = 7x
((-1 * 2 + x * 2) + 5x * (-1 + x)) = 7x
((-2 + 2x) + 5x * (-1 + x)) = 7x
(-2 + 2x + (-1 * 5x + x * 5x)) = 7x
(-2 + 2x + (-5x + 5x2)) = 7x

Combine like terms: 2x + -5x = -3x
(-2 + -3x + 5x2) = 7x

Solving
-2 + -3x + 5x2 = 7x

Solving for variable 'x'.

Reorder the terms:
-2 + -3x + -7x + 5x2 = 7x + -7x

Combine like terms: -3x + -7x = -10x
-2 + -10x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -10x + 5x2 = 0

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

Divide each side by '5'.
-0.4 + -2x + x2 = 0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + -2x + 0.4 + x2 = 0 + 0.4

Reorder the terms:
-0.4 + 0.4 + -2x + x2 = 0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -2x + x2 = 0 + 0.4
-2x + x2 = 0 + 0.4

Combine like terms: 0 + 0.4 = 0.4
-2x + x2 = 0.4

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 0.4 + 1

Reorder the terms:
1 + -2x + x2 = 0.4 + 1

Combine like terms: 0.4 + 1 = 1.4
1 + -2x + x2 = 1.4

Factor a perfect square on the left side:
(x + -1)(x + -1) = 1.4

Calculate the square root of the right side: 1.183215957

Break this problem into two subproblems by setting 
(x + -1) equal to 1.183215957 and -1.183215957.

Subproblem 1

x + -1 = 1.183215957 Simplifying x + -1 = 1.183215957 Reorder the terms: -1 + x = 1.183215957 Solving -1 + x = 1.183215957 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.183215957 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.183215957 + 1 x = 1.183215957 + 1 Combine like terms: 1.183215957 + 1 = 2.183215957 x = 2.183215957 Simplifying x = 2.183215957

Subproblem 2

x + -1 = -1.183215957 Simplifying x + -1 = -1.183215957 Reorder the terms: -1 + x = -1.183215957 Solving -1 + x = -1.183215957 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.183215957 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.183215957 + 1 x = -1.183215957 + 1 Combine like terms: -1.183215957 + 1 = -0.183215957 x = -0.183215957 Simplifying x = -0.183215957

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.183215957, -0.183215957}

See similar equations:

| 0.50x+0.25(30)=48.5 | | 0.6x+6.3=4.2 | | 3X+4=.5833 | | y=5+24x-9x^2-2x^3 | | 3y+x-200+5x-100+y+140=360 | | 3y=x-200 | | Z=2n-5 | | 8x+25-200=0 | | 5(2y-1)=(3y-4) | | Y*y+xy=5x | | 4(x+10)+x=3(x+4)-8 | | (8x)=10x+50 | | X=mwf+e | | 8q-1s-9q-7s= | | x-7=3(x+1)+2 | | 10x+1=8x+5 | | -2(x+4)+4=3(x+2)+2 | | 6x-8=5x+20 | | 2(5-2x)=4(2-3)x | | 6(x-8)+22=4(x-5) | | 3.1x=10.23 | | 9.8x=114.66 | | 6.7x=42.21 | | 55x=31955 | | 14r+s-8r+16s= | | (n)(n-1)=870 | | 4*5+1-3(x-5)=x-1 | | 0.5(3+2z)-4z=-3 | | lnx+ln(x-2)=48 | | 1/7f-5=1 | | 6x^2+4= | | TV=3x-24 |

Equations solver categories