5x(20+13x)=12

Simple and best practice solution for 5x(20+13x)=12 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(20+13x)=12 equation:


Simplifying
5x(20 + 13x) = 12
(20 * 5x + 13x * 5x) = 12
(100x + 65x2) = 12

Solving
100x + 65x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 100x + 65x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 100x + 65x2 = 0

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

Divide each side by '65'.
-0.1846153846 + 1.538461538x + x2 = 0

Move the constant term to the right:

Add '0.1846153846' to each side of the equation.
-0.1846153846 + 1.538461538x + 0.1846153846 + x2 = 0 + 0.1846153846

Reorder the terms:
-0.1846153846 + 0.1846153846 + 1.538461538x + x2 = 0 + 0.1846153846

Combine like terms: -0.1846153846 + 0.1846153846 = 0.0000000000
0.0000000000 + 1.538461538x + x2 = 0 + 0.1846153846
1.538461538x + x2 = 0 + 0.1846153846

Combine like terms: 0 + 0.1846153846 = 0.1846153846
1.538461538x + x2 = 0.1846153846

The x term is 1.538461538x.  Take half its coefficient (0.769230769).
Square it (0.5917159760) and add it to both sides.

Add '0.5917159760' to each side of the equation.
1.538461538x + 0.5917159760 + x2 = 0.1846153846 + 0.5917159760

Reorder the terms:
0.5917159760 + 1.538461538x + x2 = 0.1846153846 + 0.5917159760

Combine like terms: 0.1846153846 + 0.5917159760 = 0.7763313606
0.5917159760 + 1.538461538x + x2 = 0.7763313606

Factor a perfect square on the left side:
(x + 0.769230769)(x + 0.769230769) = 0.7763313606

Calculate the square root of the right side: 0.881096681

Break this problem into two subproblems by setting 
(x + 0.769230769) equal to 0.881096681 and -0.881096681.

Subproblem 1

x + 0.769230769 = 0.881096681 Simplifying x + 0.769230769 = 0.881096681 Reorder the terms: 0.769230769 + x = 0.881096681 Solving 0.769230769 + x = 0.881096681 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.769230769' to each side of the equation. 0.769230769 + -0.769230769 + x = 0.881096681 + -0.769230769 Combine like terms: 0.769230769 + -0.769230769 = 0.000000000 0.000000000 + x = 0.881096681 + -0.769230769 x = 0.881096681 + -0.769230769 Combine like terms: 0.881096681 + -0.769230769 = 0.111865912 x = 0.111865912 Simplifying x = 0.111865912

Subproblem 2

x + 0.769230769 = -0.881096681 Simplifying x + 0.769230769 = -0.881096681 Reorder the terms: 0.769230769 + x = -0.881096681 Solving 0.769230769 + x = -0.881096681 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.769230769' to each side of the equation. 0.769230769 + -0.769230769 + x = -0.881096681 + -0.769230769 Combine like terms: 0.769230769 + -0.769230769 = 0.000000000 0.000000000 + x = -0.881096681 + -0.769230769 x = -0.881096681 + -0.769230769 Combine like terms: -0.881096681 + -0.769230769 = -1.65032745 x = -1.65032745 Simplifying x = -1.65032745

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.111865912, -1.65032745}

See similar equations:

| (3x^2-5x-8)(-7x^2+9x-6)= | | 1x+12.5=16.75 | | 1x+12.5=18.1 | | y=3/x-5 | | 3/x-5=x | | 6*x=8+x | | (4/x)-3=(3+x)/4 | | a=65-b | | 7665=7500(1+.0055t) | | 8x-20=66 | | 3x+9z-4y=1234+7x-8z+12y | | 67-52=4+6 | | 8+6=34-20 | | stomac+7=56 | | stokac=8 | | 6x^3=2x^3 | | 4x-7x=-7-22 | | 3x+67=6x-8 | | m(m+2)=24-3m | | 12+(9x-15)=3(6+2x) | | a^2+36=13a | | (5x-3)(10x-5)=0 | | 6x+1=-2x+3 | | -1/4n=-8 | | 3x-(6x+2)=-(3x+2) | | -x/x+1-3/x+2=0 | | 5a+29=5-a | | n^2+32=12n | | x+(x+1)=79 | | 16-16+c=10 | | 0=5x(2x+9)(3x+11) | | 9x^2=6x^4 |

Equations solver categories