-4v^2-12v-53=0

Simple and best practice solution for -4v^2-12v-53=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 -4v^2-12v-53=0 equation: 


Simplifying
-4v2 + -12v + -53 = 0

Reorder the terms:
-53 + -12v + -4v2 = 0

Solving
-53 + -12v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(53 + 12v + 4v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(53 + 12v + 4v2)' equal to zero and attempt to solve:

Simplifying
53 + 12v + 4v2 = 0

Solving
53 + 12v + 4v2 = 0

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

Divide each side by '4'.
13.25 + 3v + v2 = 0

Move the constant term to the right:

Add '-13.25' to each side of the equation.
13.25 + 3v + -13.25 + v2 = 0 + -13.25

Reorder the terms:
13.25 + -13.25 + 3v + v2 = 0 + -13.25

Combine like terms: 13.25 + -13.25 = 0.00
0.00 + 3v + v2 = 0 + -13.25
3v + v2 = 0 + -13.25

Combine like terms: 0 + -13.25 = -13.25
3v + v2 = -13.25

The v term is 3v.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3v + 2.25 + v2 = -13.25 + 2.25

Reorder the terms:
2.25 + 3v + v2 = -13.25 + 2.25

Combine like terms: -13.25 + 2.25 = -11
2.25 + 3v + v2 = -11

Factor a perfect square on the left side:
(v + 1.5)(v + 1.5) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| .67x^2-0.048x-66.520=0 | | 4(x-9)=-47x | | 2x^2-5=-167 | | 0.20x+0.25(30)=21.5 | | 3x-8x+4=0 | | .2x-2.2=1.5x+1.8 | | -3c+1-4c=-20 | | 2n-4=n+8 | | 3x^2+8=35 | | 1x+(-4)=2 | | (b+5)=20 | | .20x+0.25(30)=24.5 | | .16(12z-18)=2z-3 | | -t/4+5=-2 | | 2+2-4= | | 12x-43=10x-83 | | 12+2y=10y-2 | | 670x^2-48x-66520=0 | | 6(5+c)=5(c-40) | | 2(a-20)+2a=5(a-3)-2 | | 137+16.5x=465 | | -54+(-160)+(-163)= | | t/5-8=2 | | 3(x-5)=-7-11 | | 9x-49= | | .20(15b-7)=3b-9 | | 2y=-x+16 | | 10(x-4)=9-8 | | 6.8-4.2b=5.6-3 | | 26=.5(12n-8) | | -5a-2=13 | | .6x+7.7=3.8 |

Equations solver categories