7x(3x-5)=(8x+5)

Simple and best practice solution for 7x(3x-5)=(8x+5) 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(3x-5)=(8x+5) equation:


Simplifying
7x(3x + -5) = (8x + 5)

Reorder the terms:
7x(-5 + 3x) = (8x + 5)
(-5 * 7x + 3x * 7x) = (8x + 5)
(-35x + 21x2) = (8x + 5)

Reorder the terms:
-35x + 21x2 = (5 + 8x)

Remove parenthesis around (5 + 8x)
-35x + 21x2 = 5 + 8x

Solving
-35x + 21x2 = 5 + 8x

Solving for variable 'x'.

Reorder the terms:
-5 + -35x + -8x + 21x2 = 5 + 8x + -5 + -8x

Combine like terms: -35x + -8x = -43x
-5 + -43x + 21x2 = 5 + 8x + -5 + -8x

Reorder the terms:
-5 + -43x + 21x2 = 5 + -5 + 8x + -8x

Combine like terms: 5 + -5 = 0
-5 + -43x + 21x2 = 0 + 8x + -8x
-5 + -43x + 21x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -43x + 21x2 = 0

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

Divide each side by '21'.
-0.2380952381 + -2.047619048x + x2 = 0

Move the constant term to the right:

Add '0.2380952381' to each side of the equation.
-0.2380952381 + -2.047619048x + 0.2380952381 + x2 = 0 + 0.2380952381

Reorder the terms:
-0.2380952381 + 0.2380952381 + -2.047619048x + x2 = 0 + 0.2380952381

Combine like terms: -0.2380952381 + 0.2380952381 = 0.0000000000
0.0000000000 + -2.047619048x + x2 = 0 + 0.2380952381
-2.047619048x + x2 = 0 + 0.2380952381

Combine like terms: 0 + 0.2380952381 = 0.2380952381
-2.047619048x + x2 = 0.2380952381

The x term is -2.047619048x.  Take half its coefficient (-1.023809524).
Square it (1.048185941) and add it to both sides.

Add '1.048185941' to each side of the equation.
-2.047619048x + 1.048185941 + x2 = 0.2380952381 + 1.048185941

Reorder the terms:
1.048185941 + -2.047619048x + x2 = 0.2380952381 + 1.048185941

Combine like terms: 0.2380952381 + 1.048185941 = 1.2862811791
1.048185941 + -2.047619048x + x2 = 1.2862811791

Factor a perfect square on the left side:
(x + -1.023809524)(x + -1.023809524) = 1.2862811791

Calculate the square root of the right side: 1.134143368

Break this problem into two subproblems by setting 
(x + -1.023809524) equal to 1.134143368 and -1.134143368.

Subproblem 1

x + -1.023809524 = 1.134143368 Simplifying x + -1.023809524 = 1.134143368 Reorder the terms: -1.023809524 + x = 1.134143368 Solving -1.023809524 + x = 1.134143368 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.023809524' to each side of the equation. -1.023809524 + 1.023809524 + x = 1.134143368 + 1.023809524 Combine like terms: -1.023809524 + 1.023809524 = 0.000000000 0.000000000 + x = 1.134143368 + 1.023809524 x = 1.134143368 + 1.023809524 Combine like terms: 1.134143368 + 1.023809524 = 2.157952892 x = 2.157952892 Simplifying x = 2.157952892

Subproblem 2

x + -1.023809524 = -1.134143368 Simplifying x + -1.023809524 = -1.134143368 Reorder the terms: -1.023809524 + x = -1.134143368 Solving -1.023809524 + x = -1.134143368 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.023809524' to each side of the equation. -1.023809524 + 1.023809524 + x = -1.134143368 + 1.023809524 Combine like terms: -1.023809524 + 1.023809524 = 0.000000000 0.000000000 + x = -1.134143368 + 1.023809524 x = -1.134143368 + 1.023809524 Combine like terms: -1.134143368 + 1.023809524 = -0.110333844 x = -0.110333844 Simplifying x = -0.110333844

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.157952892, -0.110333844}

See similar equations:

| 6x+-5+-2x=7+1 | | x+41=x+78 | | 0.9(x+7)+1.9(x-6)= | | 5x+7=3(x+5) | | -8v-5=21forv | | -8v-5=21for | | 11x=14y+6 | | 9a+7=4a+3 | | z/10-3=4 | | F=mv2/v | | 2/10-3=4 | | a+(a-10)/2=52 | | 3x-9+7=90 | | 9x-7=-2x-11 | | a+a-10/2=52 | | 3x-9x+7=90 | | 4.3x-14.88=4.9 | | 45-8x=17x | | 2(2x-13)+1=1 | | 5x-1/3x-12 | | 2x/2=2 | | 5y+16=2y+28 | | 4x^2+y^2+8x+6y+9=0 | | 4a+4b-3c=2 | | (5w-7)(4+w)=0 | | 35-9x=11x | | (w-6)(w-4)=0 | | r/0.2=4.8 | | 59=x/4 | | 6x+15=2x+21 | | x^2+7+5=9 | | -1/2x4 |

Equations solver categories