2x^2+8x+10=66

Simple and best practice solution for 2x^2+8x+10=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 2x^2+8x+10=66 equation: 


Simplifying
2x2 + 8x + 10 = 66

Reorder the terms:
10 + 8x + 2x2 = 66

Solving
10 + 8x + 2x2 = 66

Solving for variable 'x'.

Reorder the terms:
10 + -66 + 8x + 2x2 = 66 + -66

Combine like terms: 10 + -66 = -56
-56 + 8x + 2x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-56 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-28 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-28 + 4x + x2 = 0

Solving
-28 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '28' to each side of the equation.
-28 + 4x + 28 + x2 = 0 + 28

Reorder the terms:
-28 + 28 + 4x + x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 4x + x2 = 0 + 28
4x + x2 = 0 + 28

Combine like terms: 0 + 28 = 28
4x + x2 = 28

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 28 + 4

Reorder the terms:
4 + 4x + x2 = 28 + 4

Combine like terms: 28 + 4 = 32
4 + 4x + x2 = 32

Factor a perfect square on the left side:
(x + 2)(x + 2) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(x + 2) equal to 5.656854249 and -5.656854249.


Subproblem 1
x + 2 = 5.656854249

Simplifying
x + 2 = 5.656854249

Reorder the terms:
2 + x = 5.656854249

Solving
2 + x = 5.656854249

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 5.656854249 + -2

Combine like terms: 2 + -2 = 0
0 + x = 5.656854249 + -2
x = 5.656854249 + -2

Combine like terms: 5.656854249 + -2 = 3.656854249
x = 3.656854249

Simplifying
x = 3.656854249


Subproblem 2
x + 2 = -5.656854249

Simplifying
x + 2 = -5.656854249

Reorder the terms:
2 + x = -5.656854249

Solving
2 + x = -5.656854249

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -5.656854249 + -2

Combine like terms: 2 + -2 = 0
0 + x = -5.656854249 + -2
x = -5.656854249 + -2

Combine like terms: -5.656854249 + -2 = -7.656854249
x = -7.656854249

Simplifying
x = -7.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.656854249, -7.656854249}
Solution
x = {3.656854249, -7.656854249}

See similar equations:

| K+20=9k+-4 | | 35+2y-15=11y-10-4y | | x^2+8x+10=66 | | 14a^2+29a+12=0 | | Y/-2=66.3 | | 221=2(4a+2) | | 8-7x=41 | | 1.4x+2.2-2.3x+6.4= | | 6.4=.8x | | 23+(-9)-(-5)= | | -5*(2t+3)=-5 | | 2s^3+11s^2+5s=0 | | 48x-80=8(6x-10) | | 2(x+16)=x+16 | | 5*(f-7)=0 | | y=2x^3-11x+15 | | 30a^7+16a^6+9a^8=0 | | (4x-9)/6-11/4 | | 6-5(1+8k)=19 | | -10*(s+1)=-14 | | (d-4)+2=2(d+2)-4 | | .5x=11 | | 4x-9/6-11/4 | | 13x-42=7x+12 | | 31x+26=31x+27 | | 5(10-3b)=105-b+4(11-4b) | | 6y+1=2y-7 | | 9x^4-4x^2+16=0 | | Y-3=1/2(x-8) | | 1.35/1=x/30 | | 3(8x+3)=24x-6 | | 40b^3+22b^2-6b=0 |

Equations solver categories