3x^2-28x-48=0

Simple and best practice solution for 3x^2-28x-48=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 3x^2-28x-48=0 equation: 


Simplifying
3x2 + -28x + -48 = 0

Reorder the terms:
-48 + -28x + 3x2 = 0

Solving
-48 + -28x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-16 + -9.333333333x + x2 = 0

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + -9.333333333x + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -9.333333333x + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -9.333333333x + x2 = 0 + 16
-9.333333333x + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-9.333333333x + x2 = 16

The x term is -9.333333333x.  Take half its coefficient (-4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
-9.333333333x + 21.77777778 + x2 = 16 + 21.77777778

Reorder the terms:
21.77777778 + -9.333333333x + x2 = 16 + 21.77777778

Combine like terms: 16 + 21.77777778 = 37.77777778
21.77777778 + -9.333333333x + x2 = 37.77777778

Factor a perfect square on the left side:
(x + -4.666666667)(x + -4.666666667) = 37.77777778

Calculate the square root of the right side: 6.146362972

Break this problem into two subproblems by setting 
(x + -4.666666667) equal to 6.146362972 and -6.146362972.


Subproblem 1
x + -4.666666667 = 6.146362972

Simplifying
x + -4.666666667 = 6.146362972

Reorder the terms:
-4.666666667 + x = 6.146362972

Solving
-4.666666667 + x = 6.146362972

Solving for variable 'x'.

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

Add '4.666666667' to each side of the equation.
-4.666666667 + 4.666666667 + x = 6.146362972 + 4.666666667

Combine like terms: -4.666666667 + 4.666666667 = 0.000000000
0.000000000 + x = 6.146362972 + 4.666666667
x = 6.146362972 + 4.666666667

Combine like terms: 6.146362972 + 4.666666667 = 10.813029639
x = 10.813029639

Simplifying
x = 10.813029639


Subproblem 2
x + -4.666666667 = -6.146362972

Simplifying
x + -4.666666667 = -6.146362972

Reorder the terms:
-4.666666667 + x = -6.146362972

Solving
-4.666666667 + x = -6.146362972

Solving for variable 'x'.

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

Add '4.666666667' to each side of the equation.
-4.666666667 + 4.666666667 + x = -6.146362972 + 4.666666667

Combine like terms: -4.666666667 + 4.666666667 = 0.000000000
0.000000000 + x = -6.146362972 + 4.666666667
x = -6.146362972 + 4.666666667

Combine like terms: -6.146362972 + 4.666666667 = -1.479696305
x = -1.479696305

Simplifying
x = -1.479696305


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {10.813029639, -1.479696305}

See similar equations:

| 60=4(x+8) | | 5x^2(3x-7)+7x(5x-2)+4x= | | 3/5x+8=20 | | 12+8k=48 | | 11q-4=3r-6 | | 3x+8-x=10 | | (2x+5)(3)-4(x+2)=8x+5 | | 4u+8v=-3u+2v | | 7x-3=4x+10 | | 9(-9+3x)=-3(x-1) | | 5(x+2)=3(x+-4) | | X^3+3x+2y=2 | | 18b^4-15b^3+3b^2= | | 7x-5=-3x+95 | | 9/6=x/18 | | 3x+1=7x+-1 | | 7a-3b=25 | | -2.6-1.5=n | | 9-(t/6)=5 | | 1/3x-5=3x-15 | | 10p-[3p-4]=4[p+1]+9 | | 5x-2=2x+52+3x | | y+6=5(x-4) | | 3*(4+x)=27 | | 19-3.5/6-4= | | 10(x-1)=6(x+1) | | 3x=500 | | -2(x+6)+3=-11x+4(x+4) | | 10(x-1)=5/12 | | u-5=-4(v-1) | | 2-y/3=15 | | 7(7a+6)-1= |

Equations solver categories