5(x+1)(x+1)+2=22

Simple and best practice solution for 5(x+1)(x+1)+2=22 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 5(x+1)(x+1)+2=22 equation:


Simplifying
5(x + 1)(x + 1) + 2 = 22

Reorder the terms:
5(1 + x)(x + 1) + 2 = 22

Reorder the terms:
5(1 + x)(1 + x) + 2 = 22

Multiply (1 + x) * (1 + x)
5(1(1 + x) + x(1 + x)) + 2 = 22
5((1 * 1 + x * 1) + x(1 + x)) + 2 = 22
5((1 + 1x) + x(1 + x)) + 2 = 22
5(1 + 1x + (1 * x + x * x)) + 2 = 22
5(1 + 1x + (1x + x2)) + 2 = 22

Combine like terms: 1x + 1x = 2x
5(1 + 2x + x2) + 2 = 22
(1 * 5 + 2x * 5 + x2 * 5) + 2 = 22
(5 + 10x + 5x2) + 2 = 22

Reorder the terms:
5 + 2 + 10x + 5x2 = 22

Combine like terms: 5 + 2 = 7
7 + 10x + 5x2 = 22

Solving
7 + 10x + 5x2 = 22

Solving for variable 'x'.

Reorder the terms:
7 + -22 + 10x + 5x2 = 22 + -22

Combine like terms: 7 + -22 = -15
-15 + 10x + 5x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-15 + 10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-3 + 2x + x2) = 0

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

Ignore the factor 5.

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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-3, 1}

See similar equations:

| 2x+3y=730 | | -6/7/-3/8 | | 0=w^2-6w+26 | | 12/15=x/10-x | | 0=p^2-9p-4 | | (4x^2-7x-17)+(2x^2+9x)= | | 44.4+7x+8x= | | 1-4/8 | | 5x^2-56x+3=0 | | 8(k-5)-(-4k-6)=11k | | 9k-5=11 | | 183.375*2=x | | 3x/4=1/20 | | 4x+x+2x=8x | | 183.375*2= | | 4x+y=8x+y | | X-78=45 | | -16t^2+15t+5=0 | | (0.33*8)/(1-x)=0.16 | | 15x=13-12y | | 2(x+3)(x+3)+1=51 | | 35=-5(y+2) | | 44.4+8x= | | -16t^2+15t+3=0 | | (7+(-7))(5+(-7))(8-(-9))= | | (p^2+6p-20)=0 | | 4x-3+5x=24 | | (7+x)(5+y)(8-z)= | | 3q^2-6q+3=0 | | (p^2+2p+20)=0 | | 6m^2-13m-19=0 | | 40-3X=35+x |

Equations solver categories