4x^2-60x-144=0

Simple and best practice solution for 4x^2-60x-144=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 4x^2-60x-144=0 equation: 


Simplifying
4x2 + -60x + -144 = 0

Reorder the terms:
-144 + -60x + 4x2 = 0

Solving
-144 + -60x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-36 + -15x + x2) = 0

Ignore the factor 4.

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:

| ×/3=15 | | -10-d=d+10 | | 4p-14=6 | | 12x+13+y=180 | | K=24-3k | | 2sin^2(60)=x | | 16=1+3n | | 5x=50-25 | | sin^2(60)=x | | -(-7)-n=-8(6+n)+6n | | Y-7;7.3-7.1,-71/7 | | 4n+10=14 | | -9a=-11 | | 7+3s=19 | | 4n^2-6=30 | | 7(s-9)+1.9=3.5s+7.9 | | 12x^2-56x+49=0 | | 27+7x-2+11x+1=180 | | (8y+10x)dx+(7x+5y)dy=0 | | cos^2(X)-3cosx=0 | | 4(l+4)=0 | | 3n=-7 | | 10x+2x+30=180 | | (2w+6)(2l+8)=0 | | 1/3(10)(4) | | -28=4v-4 | | 1/3(3.14)(4^2)(10) | | (w-3)(l-4)=1056 | | 7x-3(4x+1)=-7 | | 1.5x^2-12x-14=0 | | 4=5(w-8) | | 7y=21x+35 |

Equations solver categories