x(2x+1)=15

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


Simplifying
x(2x + 1) = 15

Reorder the terms:
x(1 + 2x) = 15
(1 * x + 2x * x) = 15
(1x + 2x2) = 15

Solving
1x + 2x2 = 15

Solving for variable 'x'.

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

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

Factor a trinomial.
(-3 + -1x)(5 + -2x) = 0

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-3, 2.5}

See similar equations:

| 125=(7x-1) | | 2(4-3)+5(2x-3)=20-5x | | 10x*(x-1)=360 | | 134=(16x+22) | | 0.4015=58.44n+95.2m | | 1x/7+1x/2=1/14 | | x*0.2=x+1000 | | 5/m-4=3/8 | | 8=-14-d/9 | | (5d-8)(d-1)=0 | | 3x^2+2x+25=0 | | 2x^5+20x^4+50x^3=0 | | -d/4=21/4 | | 1/5(x-15=17 | | 2m+17=5m+11 | | -2(x-12)-12x=3(1-7x) | | 13 = r4+ 11 | | -6x*x+21x=0 | | 4d-4=4d | | (2+5i)(-1+4i)=0 | | 8.7+9.9y=y+27.9 | | 30x=20+1 | | z^3+13z^2+22z=0 | | 3b-6b=12(b+1)+9(b-12) | | 8x*x-32x=0 | | (r-10)(r-1)=0 | | 9=2g-1 | | 12-6=24p | | (-7)(-7)=0 | | 5x+2=8x-28 | | 2(8x+8)-6(x+3)=x+5+11x-9 | | 2y+x=26 |

Equations solver categories