(2x+1)(x+15)=x

Simple and best practice solution for (2x+1)(x+15)=x 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+1)(x+15)=x equation:


Simplifying
(2x + 1)(x + 15) = x

Reorder the terms:
(1 + 2x)(x + 15) = x

Reorder the terms:
(1 + 2x)(15 + x) = x

Multiply (1 + 2x) * (15 + x)
(1(15 + x) + 2x * (15 + x)) = x
((15 * 1 + x * 1) + 2x * (15 + x)) = x
((15 + 1x) + 2x * (15 + x)) = x
(15 + 1x + (15 * 2x + x * 2x)) = x
(15 + 1x + (30x + 2x2)) = x

Combine like terms: 1x + 30x = 31x
(15 + 31x + 2x2) = x

Solving
15 + 31x + 2x2 = x

Solving for variable 'x'.

Reorder the terms:
15 + 31x + -1x + 2x2 = x + -1x

Combine like terms: 31x + -1x = 30x
15 + 30x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
15 + 30x + 2x2 = 0

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

Divide each side by '2'.
7.5 + 15x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + 15x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + 15x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 15x + x2 = 0 + -7.5
15x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
15x + x2 = -7.5

The x term is 15x.  Take half its coefficient (7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
15x + 56.25 + x2 = -7.5 + 56.25

Reorder the terms:
56.25 + 15x + x2 = -7.5 + 56.25

Combine like terms: -7.5 + 56.25 = 48.75
56.25 + 15x + x2 = 48.75

Factor a perfect square on the left side:
(x + 7.5)(x + 7.5) = 48.75

Calculate the square root of the right side: 6.982120022

Break this problem into two subproblems by setting 
(x + 7.5) equal to 6.982120022 and -6.982120022.

Subproblem 1

x + 7.5 = 6.982120022 Simplifying x + 7.5 = 6.982120022 Reorder the terms: 7.5 + x = 6.982120022 Solving 7.5 + x = 6.982120022 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 6.982120022 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 6.982120022 + -7.5 x = 6.982120022 + -7.5 Combine like terms: 6.982120022 + -7.5 = -0.517879978 x = -0.517879978 Simplifying x = -0.517879978

Subproblem 2

x + 7.5 = -6.982120022 Simplifying x + 7.5 = -6.982120022 Reorder the terms: 7.5 + x = -6.982120022 Solving 7.5 + x = -6.982120022 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -6.982120022 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -6.982120022 + -7.5 x = -6.982120022 + -7.5 Combine like terms: -6.982120022 + -7.5 = -14.482120022 x = -14.482120022 Simplifying x = -14.482120022

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.517879978, -14.482120022}

See similar equations:

| 420/x=.40 | | log(7)(2)+log(7)(x)=0 | | -3(2x-3)+7x=3+3(3x-2) | | 2(x+4)=y | | 6(u+3)=-3(3u-1)+5u | | 6v^2-30v+36=0 | | 36m^2-25= | | 11y=9x-80 | | 3(x-1)-4=-5(-3x+2)-6x | | 9w+12=-3(w+4) | | -3(v-9)=-5v+29 | | 5cos(2x^3)= | | 9w-12w=21 | | 6x+14=8(x+1) | | 2x^2*8x=3 | | 6v+3(v-4)=-30 | | a^4-625= | | -8y+3(y+2)=-14 | | 6+6h=3h-3 | | -19=8x+7(x-7) | | 1/4(16+4p)= | | 2w+8=2 | | -3y-1=5 | | 23x=-38 | | -2y/5=6 | | 6/5=-3y | | -4/3u=12 | | y=4x^5-6ln(4x^3) | | 8z^4-2z^3-3z-6=2z^2+1 | | 12=-3+5u | | 32=4u+8 | | X/5-5=-30 |

Equations solver categories