(x+1)(2x+1)=66

Simple and best practice solution for (x+1)(2x+1)=66 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+1)(2x+1)=66 equation: 


Simplifying
(x + 1)(2x + 1) = 66

Reorder the terms:
(1 + x)(2x + 1) = 66

Reorder the terms:
(1 + x)(1 + 2x) = 66

Multiply (1 + x) * (1 + 2x)
(1(1 + 2x) + x(1 + 2x)) = 66
((1 * 1 + 2x * 1) + x(1 + 2x)) = 66
((1 + 2x) + x(1 + 2x)) = 66
(1 + 2x + (1 * x + 2x * x)) = 66
(1 + 2x + (1x + 2x2)) = 66

Combine like terms: 2x + 1x = 3x
(1 + 3x + 2x2) = 66

Solving
1 + 3x + 2x2 = 66

Solving for variable 'x'.

Reorder the terms:
1 + -66 + 3x + 2x2 = 66 + -66

Combine like terms: 1 + -66 = -65
-65 + 3x + 2x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-65 + 3x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve:

Simplifying
-13 + -2x = 0

Solving
-13 + -2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 0 + 13
-2x = 0 + 13

Combine like terms: 0 + 13 = 13
-2x = 13

Divide each side by '-2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-6.5, 5}

See similar equations:

| 4(x-1)+4x=13-2x | | 4xy+2x=5 | | 35x^2+34x-22=-1 | | 3p^2+20p-100=0 | | 15x^2+16x-16=0 | | 9x+11=80 | | m=-10m^2+21 | | 4m^2-24=10m | | x-366=-414 | | 9x-11=80 | | -51+180x=5-56x^2 | | 9*11=-80 | | 4x+32=-10x+10 | | 24=22x-3x^2 | | 5x-3=-4x | | 7x^2+98=-63x | | 70+60+x=200 | | -13+5+8m-1=1+6m | | 0=56+27n-5n^2 | | x^3-4x-9=0 | | x^2-16-225=0 | | -18y=162 | | -9+7x=5(8x-3)+6 | | 4=-3a^2+13a | | 40x^2+8=48x | | (a^2+b^2+3)(ab-b)= | | 1x*2-1=1 | | 10x+y=-x^2+2 | | -9+7x=40x-15+6 | | 98n^2+301n+145=5 | | -18+y=2+-1y | | 49w^2-25=0factoring |

Equations solver categories