3x^2+11x-12=0

Simple and best practice solution for 3x^2+11x-12=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+11x-12=0 equation:


Simplifying
3x2 + 11x + -12 = 0

Reorder the terms:
-12 + 11x + 3x2 = 0

Solving
-12 + 11x + 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'.
-4 + 3.666666667x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 3.666666667x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 3.666666667x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3.666666667x + x2 = 0 + 4
3.666666667x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
3.666666667x + x2 = 4

The x term is 3.666666667x.  Take half its coefficient (1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
3.666666667x + 3.361111114 + x2 = 4 + 3.361111114

Reorder the terms:
3.361111114 + 3.666666667x + x2 = 4 + 3.361111114

Combine like terms: 4 + 3.361111114 = 7.361111114
3.361111114 + 3.666666667x + x2 = 7.361111114

Factor a perfect square on the left side:
(x + 1.833333334)(x + 1.833333334) = 7.361111114

Calculate the square root of the right side: 2.713136767

Break this problem into two subproblems by setting 
(x + 1.833333334) equal to 2.713136767 and -2.713136767.

Subproblem 1

x + 1.833333334 = 2.713136767 Simplifying x + 1.833333334 = 2.713136767 Reorder the terms: 1.833333334 + x = 2.713136767 Solving 1.833333334 + x = 2.713136767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = 2.713136767 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = 2.713136767 + -1.833333334 x = 2.713136767 + -1.833333334 Combine like terms: 2.713136767 + -1.833333334 = 0.879803433 x = 0.879803433 Simplifying x = 0.879803433

Subproblem 2

x + 1.833333334 = -2.713136767 Simplifying x + 1.833333334 = -2.713136767 Reorder the terms: 1.833333334 + x = -2.713136767 Solving 1.833333334 + x = -2.713136767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = -2.713136767 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = -2.713136767 + -1.833333334 x = -2.713136767 + -1.833333334 Combine like terms: -2.713136767 + -1.833333334 = -4.546470101 x = -4.546470101 Simplifying x = -4.546470101

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.879803433, -4.546470101}

See similar equations:

| 2(7)(-1)-(7)= | | 12(2x-5)=4(-x)-3(5) | | 1.5x-.5(x+8)=1 | | h=-8.8*6+6*6 | | 2x^2-18x-72=0 | | 4z-2=z+10 | | 5y-6+y+34=8y+40-6y | | h=-0.8t^2+6t | | x^2-3x=108 | | 9w^2+30w-25=0 | | 9w^2+30w=25 | | 4x^2+16x-11=0 | | x^6-x^4-81x^2+81=0 | | 8y^2-22y+15=0 | | 3-2y=8y^2 | | 3(x+3)=7.5 | | x^2+4x+43=0 | | (x+16)(x+16)=2 | | 5(x+11)-2(2x+3)=5 | | 4ln(x)=12 | | (x-10)(x-10)=2 | | (x-16)(x-16)=2 | | 6x^2+3x+2=0 | | n^3+5n^2-4n-20= | | y-3=2(x-4) | | x^2+3x-380=0 | | 8y+4=2y-5 | | 18a^4-72a^2= | | 6(x-7)-7(x-6)=x+6-(x-2) | | 5x^2-2x=-59 | | v^2-19=0 | | .04x+78.98=13000000 |

Equations solver categories