3x^2-48x+153=0

Simple and best practice solution for 3x^2-48x+153=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^2-48x+153=0 equation: 


Simplifying
3x2 + -48x + 153 = 0

Reorder the terms:
153 + -48x + 3x2 = 0

Solving
153 + -48x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(51 + -16x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(51 + -16x + x2)' equal to zero and attempt to solve:

Simplifying
51 + -16x + x2 = 0

Solving
51 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -16x + -51 + x2 = 0 + -51

Reorder the terms:
51 + -51 + -16x + x2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -16x + x2 = 0 + -51
-16x + x2 = 0 + -51

Combine like terms: 0 + -51 = -51
-16x + x2 = -51

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -51 + 64

Reorder the terms:
64 + -16x + x2 = -51 + 64

Combine like terms: -51 + 64 = 13
64 + -16x + x2 = 13

Factor a perfect square on the left side:
(x + -8)(x + -8) = 13

Calculate the square root of the right side: 3.605551275

Break this problem into two subproblems by setting 
(x + -8) equal to 3.605551275 and -3.605551275.


Subproblem 1
x + -8 = 3.605551275

Simplifying
x + -8 = 3.605551275

Reorder the terms:
-8 + x = 3.605551275

Solving
-8 + x = 3.605551275

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = 3.605551275 + 8

Combine like terms: -8 + 8 = 0
0 + x = 3.605551275 + 8
x = 3.605551275 + 8

Combine like terms: 3.605551275 + 8 = 11.605551275
x = 11.605551275

Simplifying
x = 11.605551275


Subproblem 2
x + -8 = -3.605551275

Simplifying
x + -8 = -3.605551275

Reorder the terms:
-8 + x = -3.605551275

Solving
-8 + x = -3.605551275

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + x = -3.605551275 + 8

Combine like terms: -8 + 8 = 0
0 + x = -3.605551275 + 8
x = -3.605551275 + 8

Combine like terms: -3.605551275 + 8 = 4.394448725
x = 4.394448725

Simplifying
x = 4.394448725


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.605551275, 4.394448725}
Solution
x = {11.605551275, 4.394448725}

See similar equations:

| -7-8y=-7y | | 2.5=2.5s | | 3x^4+2x^2+5=0 | | 5x^2-7x=6x | | a^4-2a^2-15= | | 7+3x=46 | | 0.21x+525.00=585.00+0.13x | | 6+3x=51 | | 5x^2-70x+220=0 | | 3y-3x=24 | | 7x^2-2x-5=0 | | 0.21x+525.00=850 | | 10x^2+80x+220=0 | | x^2-4=136 | | x-.10x-.15(x-.10x)=306 | | 3x+7y=8 | | (10x^2+(-20x))(-30x+60)= | | 3x^2-648=0 | | x^2=2(5x-8) | | -4.9t^2+10t+1.5=0 | | -4.9t^2+35t+1=0 | | 3x^2-70x=20 | | x+7=(-4) | | 7=(-13)+d | | a-(-17)=(-30) | | 6x+5y=9 | | a-39=(-60) | | 5(2x+3)=2(3-x) | | 2(5y)= | | 9x^2-18x-45=0 | | 3*x-5=30 | | 3x-5=30 |

Equations solver categories