x(2x+60)=308

Simple and best practice solution for x(2x+60)=308 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(2x+60)=308 equation: 


Simplifying
x(2x + 60) = 308

Reorder the terms:
x(60 + 2x) = 308
(60 * x + 2x * x) = 308
(60x + 2x2) = 308

Solving
60x + 2x2 = 308

Solving for variable 'x'.

Reorder the terms:
-308 + 60x + 2x2 = 308 + -308

Combine like terms: 308 + -308 = 0
-308 + 60x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-154 + 30x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-154 + 30x + x2)' equal to zero and attempt to solve:

Simplifying
-154 + 30x + x2 = 0

Solving
-154 + 30x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '154' to each side of the equation.
-154 + 30x + 154 + x2 = 0 + 154

Reorder the terms:
-154 + 154 + 30x + x2 = 0 + 154

Combine like terms: -154 + 154 = 0
0 + 30x + x2 = 0 + 154
30x + x2 = 0 + 154

Combine like terms: 0 + 154 = 154
30x + x2 = 154

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = 154 + 225

Reorder the terms:
225 + 30x + x2 = 154 + 225

Combine like terms: 154 + 225 = 379
225 + 30x + x2 = 379

Factor a perfect square on the left side:
(x + 15)(x + 15) = 379

Calculate the square root of the right side: 19.467922334

Break this problem into two subproblems by setting 
(x + 15) equal to 19.467922334 and -19.467922334.


Subproblem 1
x + 15 = 19.467922334

Simplifying
x + 15 = 19.467922334

Reorder the terms:
15 + x = 19.467922334

Solving
15 + x = 19.467922334

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = 19.467922334 + -15

Combine like terms: 15 + -15 = 0
0 + x = 19.467922334 + -15
x = 19.467922334 + -15

Combine like terms: 19.467922334 + -15 = 4.467922334
x = 4.467922334

Simplifying
x = 4.467922334


Subproblem 2
x + 15 = -19.467922334

Simplifying
x + 15 = -19.467922334

Reorder the terms:
15 + x = -19.467922334

Solving
15 + x = -19.467922334

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + x = -19.467922334 + -15

Combine like terms: 15 + -15 = 0
0 + x = -19.467922334 + -15
x = -19.467922334 + -15

Combine like terms: -19.467922334 + -15 = -34.467922334
x = -34.467922334

Simplifying
x = -34.467922334


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.467922334, -34.467922334}
Solution
x = {4.467922334, -34.467922334}

See similar equations:

| .75/16 | | 7(d+73)=-56 | | 25+31.25=156.2(n) | | -9/g=4 | | Xy-x+2y-3=0 | | 6(v-91)=42 | | 5(4x-3)=z | | u-64/-3=-9 | | M^3-7m^2=18m | | -3k+-1=-7 | | 4=g/-9 | | 7(x+33)=245 | | 23x=56 | | -5(2x+1)=-85 | | 3(7-2x)=-27 | | 35=10q-25q^2 | | a-3.5=-19 | | -6(2-7x)=-348 | | 15(x-3)=120 | | 3x+24=4x-17 | | 4(y+6)=76 | | -4(3-7x)=-12 | | 4x(x+1)=40 | | 3.5x-1.33333=7 | | -8d+-12=-60 | | -(-2)+(-9)= | | 6(t+2)=39 | | 4p-11=5 | | 2(-5x+2)=104 | | 4y/7-10/21=y/3 | | 56x=986 | | 0.7+s=8.2 |

Equations solver categories