4*x^2-52*x-50=0

Simple and best practice solution for 4*x^2-52*x-50=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 4*x^2-52*x-50=0 equation: 


Simplifying
4x2 + -52x + -50 = 0

Reorder the terms:
-50 + -52x + 4x2 = 0

Solving
-50 + -52x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-25 + -26x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-25 + -26x + 2x2)' equal to zero and attempt to solve:

Simplifying
-25 + -26x + 2x2 = 0

Solving
-25 + -26x + 2x2 = 0

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

Divide each side by '2'.
-12.5 + -13x + x2 = 0

Move the constant term to the right:

Add '12.5' to each side of the equation.
-12.5 + -13x + 12.5 + x2 = 0 + 12.5

Reorder the terms:
-12.5 + 12.5 + -13x + x2 = 0 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + -13x + x2 = 0 + 12.5
-13x + x2 = 0 + 12.5

Combine like terms: 0 + 12.5 = 12.5
-13x + x2 = 12.5

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = 12.5 + 42.25

Reorder the terms:
42.25 + -13x + x2 = 12.5 + 42.25

Combine like terms: 12.5 + 42.25 = 54.75
42.25 + -13x + x2 = 54.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = 54.75

Calculate the square root of the right side: 7.399324293

Break this problem into two subproblems by setting 
(x + -6.5) equal to 7.399324293 and -7.399324293.


Subproblem 1
x + -6.5 = 7.399324293

Simplifying
x + -6.5 = 7.399324293

Reorder the terms:
-6.5 + x = 7.399324293

Solving
-6.5 + x = 7.399324293

Solving for variable 'x'.

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

Add '6.5' to each side of the equation.
-6.5 + 6.5 + x = 7.399324293 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + x = 7.399324293 + 6.5
x = 7.399324293 + 6.5

Combine like terms: 7.399324293 + 6.5 = 13.899324293
x = 13.899324293

Simplifying
x = 13.899324293


Subproblem 2
x + -6.5 = -7.399324293

Simplifying
x + -6.5 = -7.399324293

Reorder the terms:
-6.5 + x = -7.399324293

Solving
-6.5 + x = -7.399324293

Solving for variable 'x'.

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

Add '6.5' to each side of the equation.
-6.5 + 6.5 + x = -7.399324293 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + x = -7.399324293 + 6.5
x = -7.399324293 + 6.5

Combine like terms: -7.399324293 + 6.5 = -0.899324293
x = -0.899324293

Simplifying
x = -0.899324293


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.899324293, -0.899324293}
Solution
x = {13.899324293, -0.899324293}

See similar equations:

| 10y=6y+10 | | 10.6-2.6(x+2.4)=11-3(x-2) | | 2.8(5-1/4)-6 | | (2^2.2t)/(2^1.2t)=7 | | 2x+x=220 | | 2x+2=220 | | 12x(x-1)=36-x | | 51.68/6.8 | | 7x+20+3x+72=180 | | 17-x=4xX-28 | | 1x+2=40 | | 4arcsinx=5+4cosx | | x*y=5.76 | | 10x-6=70 | | 8m^2+6m=0 | | 1+1+4= | | Y=5X^2-410X-300 | | Y=5X^2-410+300 | | y=5(a-h)-5 | | f(a-h)=5x-5 | | y=7E-09X^4-0.0011X^3+71.297X^2-2e+06X+2E+10 | | 0=7x^4-6x^3+27x^2-24x-4 | | x*2-5x+3=0 | | 5/(e^(6x))=0 | | -3/8w=18 | | 2.5x+3.2y=7 | | 2.5x+3.2y= | | 5(v-2)-7=-3(-5v+5)-4v | | (5x)(5x)+x-18= | | 10-x-(2-3x)=4 | | (2x)-2.7=3 | | 2x-2.7=3 |

Equations solver categories