4x(7-3x)-5=2

Simple and best practice solution for 4x(7-3x)-5=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 4x(7-3x)-5=2 equation: 


Simplifying
4x(7 + -3x) + -5 = 2
(7 * 4x + -3x * 4x) + -5 = 2
(28x + -12x2) + -5 = 2

Reorder the terms:
-5 + 28x + -12x2 = 2

Solving
-5 + 28x + -12x2 = 2

Solving for variable 'x'.

Reorder the terms:
-5 + -2 + 28x + -12x2 = 2 + -2

Combine like terms: -5 + -2 = -7
-7 + 28x + -12x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-7 + 28x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.5833333333 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + -2.333333333x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + -2.333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + -2.333333333x + x2 = 0 + -0.5833333333
-2.333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
-2.333333333x + x2 = -0.5833333333

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 = -0.5833333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -0.5833333333 + 1.361111112

Combine like terms: -0.5833333333 + 1.361111112 = 0.7777777787
1.361111112 + -2.333333333x + x2 = 0.7777777787

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 0.7777777787

Calculate the square root of the right side: 0.881917104

Break this problem into two subproblems by setting 
(x + -1.166666667) equal to 0.881917104 and -0.881917104.


Subproblem 1
x + -1.166666667 = 0.881917104

Simplifying
x + -1.166666667 = 0.881917104

Reorder the terms:
-1.166666667 + x = 0.881917104

Solving
-1.166666667 + x = 0.881917104

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = 0.881917104 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = 0.881917104 + 1.166666667
x = 0.881917104 + 1.166666667

Combine like terms: 0.881917104 + 1.166666667 = 2.048583771
x = 2.048583771

Simplifying
x = 2.048583771


Subproblem 2
x + -1.166666667 = -0.881917104

Simplifying
x + -1.166666667 = -0.881917104

Reorder the terms:
-1.166666667 + x = -0.881917104

Solving
-1.166666667 + x = -0.881917104

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -0.881917104 + 1.166666667

Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -0.881917104 + 1.166666667
x = -0.881917104 + 1.166666667

Combine like terms: -0.881917104 + 1.166666667 = 0.284749563
x = 0.284749563

Simplifying
x = 0.284749563


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.048583771, 0.284749563}

See similar equations:

| -7(m-8)=38-m | | cosx=.1875 | | 2.4q-4.2-4.5q=-3.1q-3.8 | | 2x+3x+11=96 | | -7(m-8)=38-n | | 2+2n=3n+9 | | x+(-6.9)=9.9 | | 4x^2+4-24=0 | | 6x-48=6x-54 | | 2m+4m=-15+m | | 16b+2b-3-10b=21 | | X=7+-6x | | x^2-14x+485=500 | | 7+log[3](5x)=8 | | (10-7d)+7d= | | 9+8i= | | X-1+4x=6-2x | | x+(-7.9)=-9.9 | | -12x+4y=12 | | 2x(5x-15)=0 | | 3x+199=0 | | -8a+1-2a-3=38 | | 12x+8=9x+7 | | -4p+6=-2-3p | | X=15+-2 | | 10n-1=4n+17 | | -(7-7a)-(5+6a)-24=-(2-7a)+(-a)+1 | | 4(3x+6)+2(x+12)= | | 2(2b-5)-8=38 | | -2+3n=n+6-2n | | 4.3=9-1 | | (4x+8)+(9x-11)=(8x+12) |

Equations solver categories