2X(7-3X)=20

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


Simplifying
2X(7 + -3X) = 20
(7 * 2X + -3X * 2X) = 20
(14X + -6X2) = 20

Solving
14X + -6X2 = 20

Solving for variable 'X'.

Reorder the terms:
-20 + 14X + -6X2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 14X + -6X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 7X + -3X2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + 7X + -3X2)' equal to zero and attempt to solve:

Simplifying
-10 + 7X + -3X2 = 0

Solving
-10 + 7X + -3X2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3.333333333 + -2.333333333X + X2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.333333333X + -3.333333333 + X2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.333333333X + X2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.333333333X + X2 = 0 + -3.333333333
-2.333333333X + X2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.333333333X + X2 = -3.333333333

The X term is -2.333333333X.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333X + 1.361111112 + X2 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333X + X2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + -2.333333333X + X2 = -1.972222221

Factor a perfect square on the left side:
(X + -1.166666667)(X + -1.166666667) = -1.972222221

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:

| 3-6n^5-8n^4-(-6n^4-3n-8n^5)= | | -6(m+15)=4m | | 5h+6=-6+8h | | N+12-4n=-18 | | 13,2x+10= | | -3(6-6)-3=x-4 | | -2x+5+6x-8=-11 | | 5p-23=7 | | 16+5x=x-3(4+x) | | 15s-6=9s+9 | | (a+3)(a+9)= | | (x+5)-3(x+5)+10=0 | | 23-4b=17+8b | | 2(-2)2+3(3)2= | | -5(6-5x)=5x-10 | | 3(20a+5)= | | w^2=3(3w-1) | | 6+8=76+x | | 4(2x+4)=16 | | 10=7x-3 | | 4x-2=6(2x+1) | | 3s^2+17s+24=0 | | 3s^2+17x+24=0 | | 4n-3n^3-(3n^3+4n)= | | -14+2m=12+3m | | 1+5x=37+x | | 3x-4=10x-36 | | 45x^2-9x=0 | | 14-10x=174-45x | | 3(x-2)+4=12 | | a^3-2a^2-(3a^2-4a^3)= | | -14+2m=12+3 |

Equations solver categories