4+13x(2-3x)=39x-2(13+2)

Simple and best practice solution for 4+13x(2-3x)=39x-2(13+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 4+13x(2-3x)=39x-2(13+2) equation:


Simplifying
4 + 13x(2 + -3x) = 39x + -2(13 + 2)
4 + (2 * 13x + -3x * 13x) = 39x + -2(13 + 2)
4 + (26x + -39x2) = 39x + -2(13 + 2)

Combine like terms: 13 + 2 = 15
4 + 26x + -39x2 = 39x + -2(15)

Multiply -2 * 15
4 + 26x + -39x2 = 39x + -30

Reorder the terms:
4 + 26x + -39x2 = -30 + 39x

Solving
4 + 26x + -39x2 = -30 + 39x

Solving for variable 'x'.

Reorder the terms:
4 + 30 + 26x + -39x + -39x2 = -30 + 39x + 30 + -39x

Combine like terms: 4 + 30 = 34
34 + 26x + -39x + -39x2 = -30 + 39x + 30 + -39x

Combine like terms: 26x + -39x = -13x
34 + -13x + -39x2 = -30 + 39x + 30 + -39x

Reorder the terms:
34 + -13x + -39x2 = -30 + 30 + 39x + -39x

Combine like terms: -30 + 30 = 0
34 + -13x + -39x2 = 0 + 39x + -39x
34 + -13x + -39x2 = 39x + -39x

Combine like terms: 39x + -39x = 0
34 + -13x + -39x2 = 0

Begin completing the square.  Divide all terms by
-39 the coefficient of the squared term: 

Divide each side by '-39'.
-0.8717948718 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.8717948718' to each side of the equation.
-0.8717948718 + 0.3333333333x + 0.8717948718 + x2 = 0 + 0.8717948718

Reorder the terms:
-0.8717948718 + 0.8717948718 + 0.3333333333x + x2 = 0 + 0.8717948718

Combine like terms: -0.8717948718 + 0.8717948718 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + 0.8717948718
0.3333333333x + x2 = 0 + 0.8717948718

Combine like terms: 0 + 0.8717948718 = 0.8717948718
0.3333333333x + x2 = 0.8717948718

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = 0.8717948718 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = 0.8717948718 + 0.02777777779

Combine like terms: 0.8717948718 + 0.02777777779 = 0.89957264959
0.02777777779 + 0.3333333333x + x2 = 0.89957264959

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = 0.89957264959

Calculate the square root of the right side: 0.948458038

Break this problem into two subproblems by setting 
(x + 0.1666666667) equal to 0.948458038 and -0.948458038.

Subproblem 1

x + 0.1666666667 = 0.948458038 Simplifying x + 0.1666666667 = 0.948458038 Reorder the terms: 0.1666666667 + x = 0.948458038 Solving 0.1666666667 + x = 0.948458038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.1666666667 + x = 0.948458038 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + x = 0.948458038 + -0.1666666667 x = 0.948458038 + -0.1666666667 Combine like terms: 0.948458038 + -0.1666666667 = 0.7817913713 x = 0.7817913713 Simplifying x = 0.7817913713

Subproblem 2

x + 0.1666666667 = -0.948458038 Simplifying x + 0.1666666667 = -0.948458038 Reorder the terms: 0.1666666667 + x = -0.948458038 Solving 0.1666666667 + x = -0.948458038 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1666666667' to each side of the equation. 0.1666666667 + -0.1666666667 + x = -0.948458038 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + x = -0.948458038 + -0.1666666667 x = -0.948458038 + -0.1666666667 Combine like terms: -0.948458038 + -0.1666666667 = -1.1151247047 x = -1.1151247047 Simplifying x = -1.1151247047

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.7817913713, -1.1151247047}

See similar equations:

| 1/4(4x-1)=-1/7-5/7 | | -19+8x=6x+17 | | 20+20=-5(3x-8) | | 3y-7=10 | | 20=u/2+8 | | 5(2x+5)=-48+63 | | 3x-2=27 | | 4+13x(2-3x)=6x-14(3x+12) | | 48+36+x=180 | | 2+4w=22 | | 48+36=180 | | -6x-1+4x^2=0 | | X/5-16=9 | | 15t^2-25= | | 3x^4+3x^2-18=0 | | -24x^3-4x^2=0 | | 2x-5y+9=0 | | -(8y+1)-(-7y-5)=-1 | | 6z-7=2z-2z | | -24x^2-1=0 | | -6x-1-24x^2=0 | | x^4+12x^2+35=0 | | 6.5x=22.75 | | 7x+12=-9 | | x^4+12x^2+20=0 | | 4x+3x=10 | | (3/x+5)+(2/2x+1)=(4/x-2) | | .14(y-3)+.10y=.16y-1 | | (2x/5)=4+(x/3) | | (x-3)-3=294 | | -3(-6x+6)=198 | | -5(5x+8)=85 |

Equations solver categories