(2x+1)2-(x-5)(2x+1)=0

Simple and best practice solution for (2x+1)2-(x-5)(2x+1)=0 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)2-(x-5)(2x+1)=0 equation: 


Simplifying
(2x + 1) * 2 + -1(x + -5)(2x + 1) = 0

Reorder the terms:
(1 + 2x) * 2 + -1(x + -5)(2x + 1) = 0

Reorder the terms for easier multiplication:
2(1 + 2x) + -1(x + -5)(2x + 1) = 0
(1 * 2 + 2x * 2) + -1(x + -5)(2x + 1) = 0
(2 + 4x) + -1(x + -5)(2x + 1) = 0

Reorder the terms:
2 + 4x + -1(-5 + x)(2x + 1) = 0

Reorder the terms:
2 + 4x + -1(-5 + x)(1 + 2x) = 0

Multiply (-5 + x) * (1 + 2x)
2 + 4x + -1(-5(1 + 2x) + x(1 + 2x)) = 0
2 + 4x + -1((1 * -5 + 2x * -5) + x(1 + 2x)) = 0
2 + 4x + -1((-5 + -10x) + x(1 + 2x)) = 0
2 + 4x + -1(-5 + -10x + (1 * x + 2x * x)) = 0
2 + 4x + -1(-5 + -10x + (1x + 2x2)) = 0

Combine like terms: -10x + 1x = -9x
2 + 4x + -1(-5 + -9x + 2x2) = 0
2 + 4x + (-5 * -1 + -9x * -1 + 2x2 * -1) = 0
2 + 4x + (5 + 9x + -2x2) = 0

Reorder the terms:
2 + 5 + 4x + 9x + -2x2 = 0

Combine like terms: 2 + 5 = 7
7 + 4x + 9x + -2x2 = 0

Combine like terms: 4x + 9x = 13x
7 + 13x + -2x2 = 0

Solving
7 + 13x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x)(1 + 2x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {7, -0.5}

See similar equations:

| 3cos(2x)-2sin^2(x)=0 | | -2sin^2(x)+3cos(2x)=0 | | 4x+5+x=18-1+x | | 6-2x=-9-x | | 6-2=-9-x | | 3f+2=f+8 | | -42.12=8.4x+6.6 | | =16x^3-12x^2y+246xy^2-61y^3 | | 2(2x)-2(x+2)=32 | | 2x(8y-5z)=12 | | 5t-4=3t+6t | | Z^2-3Z-4=0 | | 7ln(x+2)=1 | | 650000+55q=1500000+39q | | 250000+80q=650000+55q | | 600000+55q=1600000+39q | | (x^3+y^3)dx-3xy^2*dy=0 | | log(5)(3x-2)=-1 | | 1600000+39q=1750000+43q | | 3(3x-1)=30 | | 350000+70q=600000+55q | | 300000+70q=550000+45q | | 300000+70q=550000+51q | | 15x-3=4x+24 | | 8x+40-3x= | | X+17=23+5 | | 3y-9=6x+3 | | 15-x=7x | | 15/24-16/24 | | -(x+2y)dx+(2x+y)dy=0 | | x/6=2/10 | | 72-23*2+6= |

Equations solver categories