6x^2+25x-21=0

Simple and best practice solution for 6x^2+25x-21=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 6x^2+25x-21=0 equation: 


Simplifying
6x2 + 25x + -21 = 0

Reorder the terms:
-21 + 25x + 6x2 = 0

Solving
-21 + 25x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-3.5 + 4.166666667x + x2 = 0

Move the constant term to the right:

Add '3.5' to each side of the equation.
-3.5 + 4.166666667x + 3.5 + x2 = 0 + 3.5

Reorder the terms:
-3.5 + 3.5 + 4.166666667x + x2 = 0 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 4.166666667x + x2 = 0 + 3.5
4.166666667x + x2 = 0 + 3.5

Combine like terms: 0 + 3.5 = 3.5
4.166666667x + x2 = 3.5

The x term is 4.166666667x.  Take half its coefficient (2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
4.166666667x + 4.340277781 + x2 = 3.5 + 4.340277781

Reorder the terms:
4.340277781 + 4.166666667x + x2 = 3.5 + 4.340277781

Combine like terms: 3.5 + 4.340277781 = 7.840277781
4.340277781 + 4.166666667x + x2 = 7.840277781

Factor a perfect square on the left side:
(x + 2.083333334)(x + 2.083333334) = 7.840277781

Calculate the square root of the right side: 2.800049603

Break this problem into two subproblems by setting 
(x + 2.083333334) equal to 2.800049603 and -2.800049603.


Subproblem 1
x + 2.083333334 = 2.800049603

Simplifying
x + 2.083333334 = 2.800049603

Reorder the terms:
2.083333334 + x = 2.800049603

Solving
2.083333334 + x = 2.800049603

Solving for variable 'x'.

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

Add '-2.083333334' to each side of the equation.
2.083333334 + -2.083333334 + x = 2.800049603 + -2.083333334

Combine like terms: 2.083333334 + -2.083333334 = 0.000000000
0.000000000 + x = 2.800049603 + -2.083333334
x = 2.800049603 + -2.083333334

Combine like terms: 2.800049603 + -2.083333334 = 0.716716269
x = 0.716716269

Simplifying
x = 0.716716269


Subproblem 2
x + 2.083333334 = -2.800049603

Simplifying
x + 2.083333334 = -2.800049603

Reorder the terms:
2.083333334 + x = -2.800049603

Solving
2.083333334 + x = -2.800049603

Solving for variable 'x'.

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

Add '-2.083333334' to each side of the equation.
2.083333334 + -2.083333334 + x = -2.800049603 + -2.083333334

Combine like terms: 2.083333334 + -2.083333334 = 0.000000000
0.000000000 + x = -2.800049603 + -2.083333334
x = -2.800049603 + -2.083333334

Combine like terms: -2.800049603 + -2.083333334 = -4.883382937
x = -4.883382937

Simplifying
x = -4.883382937


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.716716269, -4.883382937}

See similar equations:

| 480=(x+2)(x)(6) | | 9x^2=x^4 | | 3(x-2)-2(x-3)=x/2 | | 105-6x=21x+15 | | x^2+40x+100=0 | | 1/14(3X-2)=(X+10)/10 | | 4x+28=11x-28 | | s^2=-16 | | 4x-9+2*(2-3x)=5-3(x-4) | | (x+2)*x=195 | | 4x+32=12x-18 | | x^2-19x+18= | | (b-5)(b-5)= | | a-9/4 | | 7m+3n-4m+10n= | | Y/6=30 | | 2-3x=5-4x | | (a-3/2) | | 1/3(7y-2)+1/6(4y+8) | | x+2=-14x+6 | | 4+2x=3-7x | | P=-1/3s+7.3 | | 5p+3s=42 | | x-.14(x)=350.00 | | 3x^2-18x-4=0 | | 8x+7=2*3x | | 2/3*12=8 | | 2/3*12 | | 6y+18=18 | | 12x-8=4(3x-2) | | 6a-6=12 | | 8x+y=47 |

Equations solver categories