5x-2x(3x-7)=20

Simple and best practice solution for 5x-2x(3x-7)=20 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-2x(3x-7)=20 equation: 


Simplifying
5x + -2x(3x + -7) = 20

Reorder the terms:
5x + -2x(-7 + 3x) = 20
5x + (-7 * -2x + 3x * -2x) = 20
5x + (14x + -6x2) = 20

Combine like terms: 5x + 14x = 19x
19x + -6x2 = 20

Solving
19x + -6x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 19x + -6x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 19x + -6x2 = 0

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

Divide each side by '-6'.
3.333333333 + -3.166666667x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -3.166666667x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -3.166666667x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -3.166666667x + x2 = 0 + -3.333333333
-3.166666667x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-3.166666667x + x2 = -3.333333333

The x term is -3.166666667x.  Take half its coefficient (-1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
-3.166666667x + 2.506944447 + x2 = -3.333333333 + 2.506944447

Reorder the terms:
2.506944447 + -3.166666667x + x2 = -3.333333333 + 2.506944447

Combine like terms: -3.333333333 + 2.506944447 = -0.826388886
2.506944447 + -3.166666667x + x2 = -0.826388886

Factor a perfect square on the left side:
(x + -1.583333334)(x + -1.583333334) = -0.826388886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -42w=7 | | (2x^3-6x^2+6x)-(5x^2+4x+6)= | | 4w^2+40w=69 | | y^2-21y+0=0 | | (5x^3-2x^2+8x)-(9x^2+5x+3)= | | 5x^2+14x-21= | | (7x^3-4x^2+3x)-(7x^2+2x+3)= | | (8x^3-3x^2+7x)-(2x^2+5x+8)= | | (5x^3-9x^2+5x)-(4x^2+3x+6)= | | 23d+5=4(3d+5) | | (5x^2-2x-64)+(4x^2+8x)= | | 8+3x=51 | | 3w+8=51 | | 51=8w+3 | | 3r+8r=51 | | (4x^2-6x-68)+(6x^2+8x)= | | 7x+33=2x+88 | | 51=3+8t | | 9x-107=5x-43 | | -6/3=-4 | | 8z+51=3 | | 51+8r=3 | | (2x^2-3x+24)+(2x^2+5x-55)= | | 9n/15+9/10+n/5=-23/10 | | 8T(5+2t)= | | x*x=225 | | 2x+4=-1y+1 | | 25y+25x=25 | | Xx-9=6 | | 25a^2+3=0 | | Xx-19=6 | | -40x+20=30x-40 |

Equations solver categories