-4x^2-15x-8=0

Simple and best practice solution for -4x^2-15x-8=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^2-15x-8=0 equation: 


Simplifying
-4x2 + -15x + -8 = 0

Reorder the terms:
-8 + -15x + -4x2 = 0

Solving
-8 + -15x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 15x + 4x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 15x + 4x2)' equal to zero and attempt to solve:

Simplifying
8 + 15x + 4x2 = 0

Solving
8 + 15x + 4x2 = 0

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

Divide each side by '4'.
2 + 3.75x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 3.75x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 3.75x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3.75x + x2 = 0 + -2
3.75x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
3.75x + x2 = -2

The x term is 3.75x.  Take half its coefficient (1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
3.75x + 3.515625 + x2 = -2 + 3.515625

Reorder the terms:
3.515625 + 3.75x + x2 = -2 + 3.515625

Combine like terms: -2 + 3.515625 = 1.515625
3.515625 + 3.75x + x2 = 1.515625

Factor a perfect square on the left side:
(x + 1.875)(x + 1.875) = 1.515625

Calculate the square root of the right side: 1.231107225

Break this problem into two subproblems by setting 
(x + 1.875) equal to 1.231107225 and -1.231107225.


Subproblem 1
x + 1.875 = 1.231107225

Simplifying
x + 1.875 = 1.231107225

Reorder the terms:
1.875 + x = 1.231107225

Solving
1.875 + x = 1.231107225

Solving for variable 'x'.

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

Add '-1.875' to each side of the equation.
1.875 + -1.875 + x = 1.231107225 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + x = 1.231107225 + -1.875
x = 1.231107225 + -1.875

Combine like terms: 1.231107225 + -1.875 = -0.643892775
x = -0.643892775

Simplifying
x = -0.643892775


Subproblem 2
x + 1.875 = -1.231107225

Simplifying
x + 1.875 = -1.231107225

Reorder the terms:
1.875 + x = -1.231107225

Solving
1.875 + x = -1.231107225

Solving for variable 'x'.

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

Add '-1.875' to each side of the equation.
1.875 + -1.875 + x = -1.231107225 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + x = -1.231107225 + -1.875
x = -1.231107225 + -1.875

Combine like terms: -1.231107225 + -1.875 = -3.106107225
x = -3.106107225

Simplifying
x = -3.106107225


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.643892775, -3.106107225}
Solution
x = {-0.643892775, -3.106107225}

See similar equations:

| 7y-2(y+3)=22 | | 18=10y-4y | | -4v^2-8v-11=0 | | 2/3x-8=-2 | | -32=-4t | | z+26=23 | | 5v^2-18v+16=0 | | 4.3=x-1.8 | | 3y^2+28y+49=0 | | 391x^2-399x-105x^3=65 | | r-8=1 | | (2x+39)(x-1)=(x+2)(x-1)+2 | | 25x^2-35x-30=0factor | | y=4x-6kx | | 4m+22=9m-3 | | .10x+.20=.15 | | 10x+.20=.15 | | 6x^2+24=96 | | 3x+5-x-12=5x+14 | | .32(10*10)-(.36*10)+.21= | | (7x-5)(x+6)=0 | | .32*(100*10)-(.36*10)+2.1= | | .32*(10*10)-(.36*1)+2.1= | | .32*(10*10)-(.36*10)+2.1= | | .32*100-3.6*10+2.1= | | 6k^2-11k-2=0 | | 9k^2-62k-7=0 | | -[8x+(4x+3)]=2-(2x+4) | | 60n^2+10n=0 | | 4x^2-25=2x-5 | | 20b^2+23b-1=-7 | | H(x)=(x+2)7 |

Equations solver categories