4x^2-56x-155=0

Simple and best practice solution for 4x^2-56x-155=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^2-56x-155=0 equation: 


Simplifying
4x2 + -56x + -155 = 0

Reorder the terms:
-155 + -56x + 4x2 = 0

Solving
-155 + -56x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-38.75 + -14x + x2 = 0

Move the constant term to the right:

Add '38.75' to each side of the equation.
-38.75 + -14x + 38.75 + x2 = 0 + 38.75

Reorder the terms:
-38.75 + 38.75 + -14x + x2 = 0 + 38.75

Combine like terms: -38.75 + 38.75 = 0.00
0.00 + -14x + x2 = 0 + 38.75
-14x + x2 = 0 + 38.75

Combine like terms: 0 + 38.75 = 38.75
-14x + x2 = 38.75

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = 38.75 + 49

Reorder the terms:
49 + -14x + x2 = 38.75 + 49

Combine like terms: 38.75 + 49 = 87.75
49 + -14x + x2 = 87.75

Factor a perfect square on the left side:
(x + -7)(x + -7) = 87.75

Calculate the square root of the right side: 9.367496998

Break this problem into two subproblems by setting 
(x + -7) equal to 9.367496998 and -9.367496998.


Subproblem 1
x + -7 = 9.367496998

Simplifying
x + -7 = 9.367496998

Reorder the terms:
-7 + x = 9.367496998

Solving
-7 + x = 9.367496998

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 9.367496998 + 7

Combine like terms: -7 + 7 = 0
0 + x = 9.367496998 + 7
x = 9.367496998 + 7

Combine like terms: 9.367496998 + 7 = 16.367496998
x = 16.367496998

Simplifying
x = 16.367496998


Subproblem 2
x + -7 = -9.367496998

Simplifying
x + -7 = -9.367496998

Reorder the terms:
-7 + x = -9.367496998

Solving
-7 + x = -9.367496998

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -9.367496998 + 7

Combine like terms: -7 + 7 = 0
0 + x = -9.367496998 + 7
x = -9.367496998 + 7

Combine like terms: -9.367496998 + 7 = -2.367496998
x = -2.367496998

Simplifying
x = -2.367496998


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {16.367496998, -2.367496998}

See similar equations:

| X^2+11x+6=0 | | x((2+(-1)x)(4+(-1)x))=0 | | (-x+3)=-11 | | 9m+5n-6m+9n= | | x+118=9(x+6) | | 4x^2-54x+162=0 | | 7b+19=8b | | 4x^2+30x+36=0 | | 2(4x+7)=14 | | x+13=3(x+5) | | 6(2-3x)=60 | | 4(4+3x)=-8 | | 8x+12=4x-24 | | n^2+2.5n=0 | | 3x+4=-2x-11 | | 81x^2+18x+1=0 | | 2n^2+5n=-4 | | 4-3x=-2 | | m-15=32 | | 2x+x=24 | | x^3-3ax+b=0 | | 8x+2=2x+17 | | 2x-1+4x-8=5x-9 | | x+x-9=0 | | 10x-26=54 | | 5(x-3)=55 | | Y=25000-800x | | 3(2x-1)=15 | | 7x-14=10x-2 | | 3x+9=-4x+16 | | (x-3)(x-3)+2=0 | | 12-3(2-4)+3= |

Equations solver categories