5(2x-8)=2x(7x-2)

Simple and best practice solution for 5(2x-8)=2x(7x-2) 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 5(2x-8)=2x(7x-2) equation: 


Simplifying
5(2x + -8) = 2x(7x + -2)

Reorder the terms:
5(-8 + 2x) = 2x(7x + -2)
(-8 * 5 + 2x * 5) = 2x(7x + -2)
(-40 + 10x) = 2x(7x + -2)

Reorder the terms:
-40 + 10x = 2x(-2 + 7x)
-40 + 10x = (-2 * 2x + 7x * 2x)
-40 + 10x = (-4x + 14x2)

Solving
-40 + 10x = -4x + 14x2

Solving for variable 'x'.

Combine like terms: 10x + 4x = 14x
-40 + 14x + -14x2 = -4x + 14x2 + 4x + -14x2

Reorder the terms:
-40 + 14x + -14x2 = -4x + 4x + 14x2 + -14x2

Combine like terms: -4x + 4x = 0
-40 + 14x + -14x2 = 0 + 14x2 + -14x2
-40 + 14x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-40 + 14x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 7x + -7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + 7x + -7x2)' equal to zero and attempt to solve:

Simplifying
-20 + 7x + -7x2 = 0

Solving
-20 + 7x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
2.857142857 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.857142857' to each side of the equation.
2.857142857 + -1x + -2.857142857 + x2 = 0 + -2.857142857

Reorder the terms:
2.857142857 + -2.857142857 + -1x + x2 = 0 + -2.857142857

Combine like terms: 2.857142857 + -2.857142857 = 0.000000000
0.000000000 + -1x + x2 = 0 + -2.857142857
-1x + x2 = 0 + -2.857142857

Combine like terms: 0 + -2.857142857 = -2.857142857
-1x + x2 = -2.857142857

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.857142857 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.857142857 + 0.25

Combine like terms: -2.857142857 + 0.25 = -2.607142857
0.25 + -1x + x2 = -2.607142857

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2.607142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 1/5y=12 | | x^3-3y+4=0 | | 15-4c=-1 | | 5x+1=71-2x | | 0.01(x^2)=x | | y=-x+2+1 | | f(13/4) | | 3x+25=31 | | Y-1=1/3(X-3) | | 6m-22=68 | | 3x-8+8=5+8 | | =21x+7 | | Y=5/4-2 | | 4(t+10)=80 | | 2x(-4y)+7y=3 | | X=7y+18 | | 2(1)-3y=-1 | | 32-15x=-10+26x | | 4x(3x+3)=180 | | .75x=1000 | | -3a/7*(-4*2/3) | | 5(z-7)-(2-6z)=10z | | -83=-87(7+4x)+5x | | log(9)(10)+log(9)(7)=log(9)x | | (9+t)4=84 | | 5x^4+6x^2+2=0 | | 7x-6(x-5)=27 | | (b+1)(2b+3)=0 | | z^2-4/3z=-1/4 | | =12xy-8x | | 9=10y-7y | | -2.6y=13 |

Equations solver categories