6x^2-58x+99=0

Simple and best practice solution for 6x^2-58x+99=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^2-58x+99=0 equation:


Simplifying
6x2 + -58x + 99 = 0

Reorder the terms:
99 + -58x + 6x2 = 0

Solving
99 + -58x + 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'.
16.5 + -9.666666667x + x2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -9.666666667x + -16.5 + x2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -9.666666667x + x2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -9.666666667x + x2 = 0 + -16.5
-9.666666667x + x2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-9.666666667x + x2 = -16.5

The x term is -9.666666667x.  Take half its coefficient (-4.833333334).
Square it (23.36111112) and add it to both sides.

Add '23.36111112' to each side of the equation.
-9.666666667x + 23.36111112 + x2 = -16.5 + 23.36111112

Reorder the terms:
23.36111112 + -9.666666667x + x2 = -16.5 + 23.36111112

Combine like terms: -16.5 + 23.36111112 = 6.86111112
23.36111112 + -9.666666667x + x2 = 6.86111112

Factor a perfect square on the left side:
(x + -4.833333334)(x + -4.833333334) = 6.86111112

Calculate the square root of the right side: 2.619372276

Break this problem into two subproblems by setting 
(x + -4.833333334) equal to 2.619372276 and -2.619372276.

Subproblem 1

x + -4.833333334 = 2.619372276 Simplifying x + -4.833333334 = 2.619372276 Reorder the terms: -4.833333334 + x = 2.619372276 Solving -4.833333334 + x = 2.619372276 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.833333334' to each side of the equation. -4.833333334 + 4.833333334 + x = 2.619372276 + 4.833333334 Combine like terms: -4.833333334 + 4.833333334 = 0.000000000 0.000000000 + x = 2.619372276 + 4.833333334 x = 2.619372276 + 4.833333334 Combine like terms: 2.619372276 + 4.833333334 = 7.45270561 x = 7.45270561 Simplifying x = 7.45270561

Subproblem 2

x + -4.833333334 = -2.619372276 Simplifying x + -4.833333334 = -2.619372276 Reorder the terms: -4.833333334 + x = -2.619372276 Solving -4.833333334 + x = -2.619372276 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.833333334' to each side of the equation. -4.833333334 + 4.833333334 + x = -2.619372276 + 4.833333334 Combine like terms: -4.833333334 + 4.833333334 = 0.000000000 0.000000000 + x = -2.619372276 + 4.833333334 x = -2.619372276 + 4.833333334 Combine like terms: -2.619372276 + 4.833333334 = 2.213961058 x = 2.213961058 Simplifying x = 2.213961058

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.45270561, 2.213961058}

See similar equations:

| 15x+9x-1=7x+3 | | 4m+6=6-2m | | ax+2a^2=0 | | 5r^2+3r=14.81 | | 6sin^2x+sin=4 | | -0.391+23.94x=-3.2(0.43x-2.3) | | 4v+6=5v-8 | | 2X^2+13x+5=0 | | x-7(1.34+0.32x)=0.01x | | 3(-2)=9 | | 9(x+4)=3(x+26) | | Y=-0.2x^2+5 | | X^5-6x^3-8x-1=0 | | 46=g+-8 | | 5x-4=86-10x | | 5x+10y=1000 | | 2x+71=6x-13 | | -131-8x=-7x+19 | | 12(x-2)=24 | | 6x-7y=-25 | | 9x-8y=-21 | | 8x+336=336-3x | | 1.051x+1.6y=1.06 | | 0.214378=0.0539*x^2-0.3162*x+0.69 | | 11x+5y=10000 | | x^2+6=56 | | xx+4=45 | | Z^2-5z+9=0 | | 3x+45-x=6 | | 925.65a+185.6b+780c=2050.67 | | 3x+5=10+(x) | | 3x-18+24x=9x-2 |

Equations solver categories