3x^2+8x+2=x+60

Simple and best practice solution for 3x^2+8x+2=x+60 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 3x^2+8x+2=x+60 equation:


Simplifying
3x2 + 8x + 2 = x + 60

Reorder the terms:
2 + 8x + 3x2 = x + 60

Reorder the terms:
2 + 8x + 3x2 = 60 + x

Solving
2 + 8x + 3x2 = 60 + x

Solving for variable 'x'.

Reorder the terms:
2 + -60 + 8x + -1x + 3x2 = 60 + x + -60 + -1x

Combine like terms: 2 + -60 = -58
-58 + 8x + -1x + 3x2 = 60 + x + -60 + -1x

Combine like terms: 8x + -1x = 7x
-58 + 7x + 3x2 = 60 + x + -60 + -1x

Reorder the terms:
-58 + 7x + 3x2 = 60 + -60 + x + -1x

Combine like terms: 60 + -60 = 0
-58 + 7x + 3x2 = 0 + x + -1x
-58 + 7x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
-58 + 7x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
-19.33333333 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '19.33333333' to each side of the equation.
-19.33333333 + 2.333333333x + 19.33333333 + x2 = 0 + 19.33333333

Reorder the terms:
-19.33333333 + 19.33333333 + 2.333333333x + x2 = 0 + 19.33333333

Combine like terms: -19.33333333 + 19.33333333 = 0.00000000
0.00000000 + 2.333333333x + x2 = 0 + 19.33333333
2.333333333x + x2 = 0 + 19.33333333

Combine like terms: 0 + 19.33333333 = 19.33333333
2.333333333x + x2 = 19.33333333

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = 19.33333333 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = 19.33333333 + 1.361111112

Combine like terms: 19.33333333 + 1.361111112 = 20.694444442
1.361111112 + 2.333333333x + x2 = 20.694444442

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = 20.694444442

Calculate the square root of the right side: 4.549114688

Break this problem into two subproblems by setting 
(x + 1.166666667) equal to 4.549114688 and -4.549114688.

Subproblem 1

x + 1.166666667 = 4.549114688 Simplifying x + 1.166666667 = 4.549114688 Reorder the terms: 1.166666667 + x = 4.549114688 Solving 1.166666667 + x = 4.549114688 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + x = 4.549114688 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + x = 4.549114688 + -1.166666667 x = 4.549114688 + -1.166666667 Combine like terms: 4.549114688 + -1.166666667 = 3.382448021 x = 3.382448021 Simplifying x = 3.382448021

Subproblem 2

x + 1.166666667 = -4.549114688 Simplifying x + 1.166666667 = -4.549114688 Reorder the terms: 1.166666667 + x = -4.549114688 Solving 1.166666667 + x = -4.549114688 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667 + x = -4.549114688 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + x = -4.549114688 + -1.166666667 x = -4.549114688 + -1.166666667 Combine like terms: -4.549114688 + -1.166666667 = -5.715781355 x = -5.715781355 Simplifying x = -5.715781355

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.382448021, -5.715781355}

See similar equations:

| 0.05x^2+4x+200000=0 | | 4a^2-3a+3=0 | | 9(x-3)=6x | | 2(x+3)-x=14-3x | | r+7=39 | | x-0.8=-1.3 | | 4m^4/3m^2 | | 12b=20b+75 | | -6x-19+3x=14 | | -4=t-9t | | -6x+1-13x=-18 | | 5x^2+5y^2-6y-5=0 | | x^4+11=0 | | 4x^4+5x^3+21x^2+25x+5=0 | | 5(m+3)+7m=(3m-10) | | -6x-4(4+3x)=-5x-5(2x-1) | | 3w^3-27w^2+60w=0 | | -r^2-27r-26= | | 28w^2=0 | | 2(6x+24w)+4(2w+3)=3(x+12)+6w | | 40x^3-8x^2+25x-5= | | n+25=60 | | 6/5=8x | | 4y+8x-y-9x=3y-x | | 7q+8q+2q-7= | | 6x-4x-8=14 | | 3/4x=100-25x | | 2x-8+7=x-6-2x+2x | | .5y-8x=10 | | -6r+5-5+1=2r-3+1 | | 8(2a-b)-5(4b-4a)= | | -3+8(x-4)=16x+5-8x |

Equations solver categories