2x^2-30x-72=0

Simple and best practice solution for 2x^2-30x-72=0 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^2-30x-72=0 equation: 


Simplifying
2x2 + -30x + -72 = 0

Reorder the terms:
-72 + -30x + 2x2 = 0

Solving
-72 + -30x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + -15x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-36 + -15x + x2)' equal to zero and attempt to solve:

Simplifying
-36 + -15x + x2 = 0

Solving
-36 + -15x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '36' to each side of the equation.
-36 + -15x + 36 + x2 = 0 + 36

Reorder the terms:
-36 + 36 + -15x + x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -15x + x2 = 0 + 36
-15x + x2 = 0 + 36

Combine like terms: 0 + 36 = 36
-15x + x2 = 36

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = 36 + 56.25

Reorder the terms:
56.25 + -15x + x2 = 36 + 56.25

Combine like terms: 36 + 56.25 = 92.25
56.25 + -15x + x2 = 92.25

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = 92.25

Calculate the square root of the right side: 9.604686356

Break this problem into two subproblems by setting 
(x + -7.5) equal to 9.604686356 and -9.604686356.


Subproblem 1
x + -7.5 = 9.604686356

Simplifying
x + -7.5 = 9.604686356

Reorder the terms:
-7.5 + x = 9.604686356

Solving
-7.5 + x = 9.604686356

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = 9.604686356 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = 9.604686356 + 7.5
x = 9.604686356 + 7.5

Combine like terms: 9.604686356 + 7.5 = 17.104686356
x = 17.104686356

Simplifying
x = 17.104686356


Subproblem 2
x + -7.5 = -9.604686356

Simplifying
x + -7.5 = -9.604686356

Reorder the terms:
-7.5 + x = -9.604686356

Solving
-7.5 + x = -9.604686356

Solving for variable 'x'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + x = -9.604686356 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + x = -9.604686356 + 7.5
x = -9.604686356 + 7.5

Combine like terms: -9.604686356 + 7.5 = -2.104686356
x = -2.104686356

Simplifying
x = -2.104686356


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {17.104686356, -2.104686356}
Solution
x = {17.104686356, -2.104686356}

See similar equations:

| 3x^2=6x+3 | | 7x+40=58-2x | | (2m-1)9+5(5m-3)= | | -33=5x+2 | | 30x^2+32xy-30y^2= | | -5s+15=0 | | 15x^4-64x^3+33x^2= | | 5t-7+31=8(6-4) | | 21x^4-111x^3+30x^2= | | -4m=3 | | 12b^2+3b=0 | | 12y^3+11y^2+2y= | | 1x=17 | | 4y^2+54y-90= | | 15x^2-5x-10= | | 14x^2-53xy+14y^2= | | 5a^2+7ab+2b^2= | | 6x^2+5xy-6y^2= | | -11y=21 | | c=20r+10(40-r) | | 3a^2-8ab-28b^2= | | 4(4x-4)=2(8x+7) | | 12x^2+23xy+5y^2= | | 12x+14x+5=125 | | 6x-15y=105 | | sx+9=x-23 | | (x-10)=6 | | 4*4/3= | | 2(1d+5)=3(1d-2) | | 4/4/3= | | 100x^2-60x-39=0 | | 3m-2(5+m)+5m= |

Equations solver categories