4x^2-5x-6.01=0

Simple and best practice solution for 4x^2-5x-6.01=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^2-5x-6.01=0 equation: 


Simplifying
4x2 + -5x + -6.01 = 0

Reorder the terms:
-6.01 + -5x + 4x2 = 0

Solving
-6.01 + -5x + 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'.
-1.5025 + -1.25x + x2 = 0

Move the constant term to the right:

Add '1.5025' to each side of the equation.
-1.5025 + -1.25x + 1.5025 + x2 = 0 + 1.5025

Reorder the terms:
-1.5025 + 1.5025 + -1.25x + x2 = 0 + 1.5025

Combine like terms: -1.5025 + 1.5025 = 0.0000
0.0000 + -1.25x + x2 = 0 + 1.5025
-1.25x + x2 = 0 + 1.5025

Combine like terms: 0 + 1.5025 = 1.5025
-1.25x + x2 = 1.5025

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 1.5025 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 1.5025 + 0.390625

Combine like terms: 1.5025 + 0.390625 = 1.893125
0.390625 + -1.25x + x2 = 1.893125

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 1.893125

Calculate the square root of the right side: 1.375908791

Break this problem into two subproblems by setting 
(x + -0.625) equal to 1.375908791 and -1.375908791.


Subproblem 1
x + -0.625 = 1.375908791

Simplifying
x + -0.625 = 1.375908791

Reorder the terms:
-0.625 + x = 1.375908791

Solving
-0.625 + x = 1.375908791

Solving for variable 'x'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + x = 1.375908791 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + x = 1.375908791 + 0.625
x = 1.375908791 + 0.625

Combine like terms: 1.375908791 + 0.625 = 2.000908791
x = 2.000908791

Simplifying
x = 2.000908791


Subproblem 2
x + -0.625 = -1.375908791

Simplifying
x + -0.625 = -1.375908791

Reorder the terms:
-0.625 + x = -1.375908791

Solving
-0.625 + x = -1.375908791

Solving for variable 'x'.

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

Add '0.625' to each side of the equation.
-0.625 + 0.625 + x = -1.375908791 + 0.625

Combine like terms: -0.625 + 0.625 = 0.000
0.000 + x = -1.375908791 + 0.625
x = -1.375908791 + 0.625

Combine like terms: -1.375908791 + 0.625 = -0.750908791
x = -0.750908791

Simplifying
x = -0.750908791


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.000908791, -0.750908791}

See similar equations:

| 100+100=h | | 10x+4-2x=14-4x+6+8x | | 3n-10=0 | | 3x-y=3d | | 8+(n+9)=21 | | Y=2x^3-14x^2+24x | | 4e+9=-63-8e | | 4(w-3)-2=-4(-6w+6)-8w | | (3n-5)(n-6)=0 | | 63-2e=14-9e | | 5-x=10x | | 33=6+3h | | 4e+6=-50-4e | | 5x+3y=182 | | 8+3e=6+e | | 6a+2=7a-1 | | 3e-2=13e-62 | | 9-8g=31 | | -x-8=4x-38 | | xy+2x=300 | | -4-8x+9x=12 | | .33x+10=0.6 | | -6+3y=-15 | | 3e+16=13e-94 | | (2cosx+1)(cosx+1)=0 | | -x^2-4x+32.01=0 | | 60p+50= | | 7u=4u+9 | | (X+7)(x+1)=(x+1) | | 35=-4d+7 | | (x-0.3)+(2x-0.2)+((40+x)-0.25)=274 | | -10(X+1)=8 |

Equations solver categories