3x^2-1133x-100=0

Simple and best practice solution for 3x^2-1133x-100=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 3x^2-1133x-100=0 equation:


Simplifying
3x2 + -1133x + -100 = 0

Reorder the terms:
-100 + -1133x + 3x2 = 0

Solving
-100 + -1133x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
-33.33333333 + -377.6666667x + x2 = 0

Move the constant term to the right:

Add '33.33333333' to each side of the equation.
-33.33333333 + -377.6666667x + 33.33333333 + x2 = 0 + 33.33333333

Reorder the terms:
-33.33333333 + 33.33333333 + -377.6666667x + x2 = 0 + 33.33333333

Combine like terms: -33.33333333 + 33.33333333 = 0.00000000
0.00000000 + -377.6666667x + x2 = 0 + 33.33333333
-377.6666667x + x2 = 0 + 33.33333333

Combine like terms: 0 + 33.33333333 = 33.33333333
-377.6666667x + x2 = 33.33333333

The x term is -377.6666667x.  Take half its coefficient (-188.8333334).
Square it (35658.02780) and add it to both sides.

Add '35658.02780' to each side of the equation.
-377.6666667x + 35658.02780 + x2 = 33.33333333 + 35658.02780

Reorder the terms:
35658.02780 + -377.6666667x + x2 = 33.33333333 + 35658.02780

Combine like terms: 33.33333333 + 35658.02780 = 35691.36113333
35658.02780 + -377.6666667x + x2 = 35691.36113333

Factor a perfect square on the left side:
(x + -188.8333334)(x + -188.8333334) = 35691.36113333

Calculate the square root of the right side: 188.921574028

Break this problem into two subproblems by setting 
(x + -188.8333334) equal to 188.921574028 and -188.921574028.

Subproblem 1

x + -188.8333334 = 188.921574028 Simplifying x + -188.8333334 = 188.921574028 Reorder the terms: -188.8333334 + x = 188.921574028 Solving -188.8333334 + x = 188.921574028 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '188.8333334' to each side of the equation. -188.8333334 + 188.8333334 + x = 188.921574028 + 188.8333334 Combine like terms: -188.8333334 + 188.8333334 = 0.0000000 0.0000000 + x = 188.921574028 + 188.8333334 x = 188.921574028 + 188.8333334 Combine like terms: 188.921574028 + 188.8333334 = 377.754907428 x = 377.754907428 Simplifying x = 377.754907428

Subproblem 2

x + -188.8333334 = -188.921574028 Simplifying x + -188.8333334 = -188.921574028 Reorder the terms: -188.8333334 + x = -188.921574028 Solving -188.8333334 + x = -188.921574028 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '188.8333334' to each side of the equation. -188.8333334 + 188.8333334 + x = -188.921574028 + 188.8333334 Combine like terms: -188.8333334 + 188.8333334 = 0.0000000 0.0000000 + x = -188.921574028 + 188.8333334 x = -188.921574028 + 188.8333334 Combine like terms: -188.921574028 + 188.8333334 = -0.088240628 x = -0.088240628 Simplifying x = -0.088240628

Solution

The solution to the problem is based on the solutions from the subproblems. x = {377.754907428, -0.088240628}

See similar equations:

| 3(3z-1)-3(3-2z)=6 | | Log(3x+4)=7 | | 109-(5x+9)=5(x+9)+x | | -5(n+2)+14=-2n-14 | | 3x-12=4x-13 | | x*25-36=5/12 | | 8x-2=4x+6 | | 37.66=8g+3.74 | | 2(6-3x-8x)+8(2x+6)=24 | | -a/6-31=64 | | 3y-10+y+48=7y+40-5y | | -10t+8=-2 | | 5.7(x)=7.8(x+10) | | 7/ln(x) | | 3x^1/2-8x^1/4-3=0 | | 4x-25-3x+18=180 | | 3=3c-3 | | 8x+10=80 | | 5n-5=-20 | | 6v-36=-6(6+v) | | (2x^7)(3x)= | | 12+2w=312 | | 9(a+5)=9(a-3) | | (1.5)(1.5)+(2.1)(2.1)= | | 12+12w=312 | | 6x-10=140 | | 191.5(.037)=x | | (1.5)*2+(2.1)*2= | | 16/x-3=10/x | | 3x=10y+16 | | 5x+3=6x+3 | | (1.5)2+(2.1)2= |

Equations solver categories