x^2+8x+16=42

Simple and best practice solution for x^2+8x+16=42 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^2+8x+16=42 equation:


Simplifying
x2 + 8x + 16 = 42

Reorder the terms:
16 + 8x + x2 = 42

Solving
16 + 8x + x2 = 42

Solving for variable 'x'.

Reorder the terms:
16 + -42 + 8x + x2 = 42 + -42

Combine like terms: 16 + -42 = -26
-26 + 8x + x2 = 42 + -42

Combine like terms: 42 + -42 = 0
-26 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '26' to each side of the equation.
-26 + 8x + 26 + x2 = 0 + 26

Reorder the terms:
-26 + 26 + 8x + x2 = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 8x + x2 = 0 + 26
8x + x2 = 0 + 26

Combine like terms: 0 + 26 = 26
8x + x2 = 26

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = 26 + 16

Reorder the terms:
16 + 8x + x2 = 26 + 16

Combine like terms: 26 + 16 = 42
16 + 8x + x2 = 42

Factor a perfect square on the left side:
(x + 4)(x + 4) = 42

Calculate the square root of the right side: 6.480740698

Break this problem into two subproblems by setting 
(x + 4) equal to 6.480740698 and -6.480740698.

Subproblem 1

x + 4 = 6.480740698 Simplifying x + 4 = 6.480740698 Reorder the terms: 4 + x = 6.480740698 Solving 4 + x = 6.480740698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 6.480740698 + -4 Combine like terms: 4 + -4 = 0 0 + x = 6.480740698 + -4 x = 6.480740698 + -4 Combine like terms: 6.480740698 + -4 = 2.480740698 x = 2.480740698 Simplifying x = 2.480740698

Subproblem 2

x + 4 = -6.480740698 Simplifying x + 4 = -6.480740698 Reorder the terms: 4 + x = -6.480740698 Solving 4 + x = -6.480740698 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = -6.480740698 + -4 Combine like terms: 4 + -4 = 0 0 + x = -6.480740698 + -4 x = -6.480740698 + -4 Combine like terms: -6.480740698 + -4 = -10.480740698 x = -10.480740698 Simplifying x = -10.480740698

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.480740698, -10.480740698}

See similar equations:

| y=1(2.1)+34 | | 5a=-13 | | -42+7x=15(-9x-5) | | 4.56+n=7 | | 6x+3=4x+2 | | y=2+16(2.1) | | x+7+x=7 | | a+3a=336 | | -2y-4x=0 | | -25=x-8 | | -2x-x-13=-1 | | 3x+8-5x= | | 49s^3-25s=0 | | w/28+6.5=11 | | x+(4x-10)=90 | | M=9/7S+30 | | 3/7x-4=5 | | -42+7x=132-110 | | m-7=9 | | y-4(-1)=0 | | 2x-5=2x+4 | | 2(x-21)=29-3(x-3) | | 5.5x+11=0 | | 2+16x=1x+34 | | 2x+3/5=x-2/6 | | 4.3v-6=8+2.3y | | 2(x-21)=20-3(x-3) | | 2(1+6m)=2+3m | | 6=29y | | 1/6x+3/6 | | 301/40+1/10 | | 1.25/x=5/2 |

Equations solver categories