-4x^2-9x-1=0

Simple and best practice solution for -4x^2-9x-1=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^2-9x-1=0 equation: 


Simplifying
-4x2 + -9x + -1 = 0

Reorder the terms:
-1 + -9x + -4x2 = 0

Solving
-1 + -9x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 9x + 4x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 9x + 4x2)' equal to zero and attempt to solve:

Simplifying
1 + 9x + 4x2 = 0

Solving
1 + 9x + 4x2 = 0

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

Divide each side by '4'.
0.25 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 2.25x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 2.25x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 2.25x + x2 = 0 + -0.25
2.25x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
2.25x + x2 = -0.25

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -0.25 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -0.25 + 1.265625

Combine like terms: -0.25 + 1.265625 = 1.015625
1.265625 + 2.25x + x2 = 1.015625

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = 1.015625

Calculate the square root of the right side: 1.007782219

Break this problem into two subproblems by setting 
(x + 1.125) equal to 1.007782219 and -1.007782219.


Subproblem 1
x + 1.125 = 1.007782219

Simplifying
x + 1.125 = 1.007782219

Reorder the terms:
1.125 + x = 1.007782219

Solving
1.125 + x = 1.007782219

Solving for variable 'x'.

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

Add '-1.125' to each side of the equation.
1.125 + -1.125 + x = 1.007782219 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x = 1.007782219 + -1.125
x = 1.007782219 + -1.125

Combine like terms: 1.007782219 + -1.125 = -0.117217781
x = -0.117217781

Simplifying
x = -0.117217781


Subproblem 2
x + 1.125 = -1.007782219

Simplifying
x + 1.125 = -1.007782219

Reorder the terms:
1.125 + x = -1.007782219

Solving
1.125 + x = -1.007782219

Solving for variable 'x'.

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

Add '-1.125' to each side of the equation.
1.125 + -1.125 + x = -1.007782219 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x = -1.007782219 + -1.125
x = -1.007782219 + -1.125

Combine like terms: -1.007782219 + -1.125 = -2.132782219
x = -2.132782219

Simplifying
x = -2.132782219


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.117217781, -2.132782219}
Solution
x = {-0.117217781, -2.132782219}

See similar equations:

| 1.1(y-1.5)=1.1(y-13) | | 3(x+7)=5(x-4) | | Un+1=7n+2n+5 | | 24+4q=20 | | -0.875k=-21 | | a*4-33=23 | | p+4q=20 | | a+5=5a+52 | | 2x^2+7x+33=0 | | -4f-8=4f+-8 | | 9x+5=4x^2-4 | | solvey-7=5 | | 0.5x-3=0.5x+2 | | F(x)=2x^2+a | | 4(x-2)-7x=2x+22 | | (3u+5)(7+u)=0 | | 3x+16=5x-54 | | x^2=-(8x+5) | | p-4(2-y)=7y-(3+y) | | 550=500x | | 35n+6-3n=-2 | | -5y-2(y+4)=6y-p | | 30x+2y+z=10 | | 4(x-6)+4x=8(x-2) | | 35x+y+z=5 | | 8x-(3x-20)=-60 | | y^2+20x+10y-5=0 | | 7b^2+7=315 | | -5+6p=-17 | | 2m-4=6 | | 17(7c-1)-18=117c+17 | | 7x-9y=3fory |

Equations solver categories