-3x^2-5x=-11

Simple and best practice solution for -3x^2-5x=-11 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^2-5x=-11 equation:


Simplifying
-3x2 + -5x = -11

Reorder the terms:
-5x + -3x2 = -11

Solving
-5x + -3x2 = -11

Solving for variable 'x'.

Reorder the terms:
11 + -5x + -3x2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -5x + -3x2 = 0

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

Divide each side by '-3'.
-3.666666667 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '3.666666667' to each side of the equation.
-3.666666667 + 1.666666667x + 3.666666667 + x2 = 0 + 3.666666667

Reorder the terms:
-3.666666667 + 3.666666667 + 1.666666667x + x2 = 0 + 3.666666667

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
0.000000000 + 1.666666667x + x2 = 0 + 3.666666667
1.666666667x + x2 = 0 + 3.666666667

Combine like terms: 0 + 3.666666667 = 3.666666667
1.666666667x + x2 = 3.666666667

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = 3.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 3.666666667 + 0.6944444447

Combine like terms: 3.666666667 + 0.6944444447 = 4.3611111117
0.6944444447 + 1.666666667x + x2 = 4.3611111117

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 4.3611111117

Calculate the square root of the right side: 2.088327348

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 2.088327348 and -2.088327348.

Subproblem 1

x + 0.8333333335 = 2.088327348 Simplifying x + 0.8333333335 = 2.088327348 Reorder the terms: 0.8333333335 + x = 2.088327348 Solving 0.8333333335 + x = 2.088327348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = 2.088327348 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = 2.088327348 + -0.8333333335 x = 2.088327348 + -0.8333333335 Combine like terms: 2.088327348 + -0.8333333335 = 1.2549940145 x = 1.2549940145 Simplifying x = 1.2549940145

Subproblem 2

x + 0.8333333335 = -2.088327348 Simplifying x + 0.8333333335 = -2.088327348 Reorder the terms: 0.8333333335 + x = -2.088327348 Solving 0.8333333335 + x = -2.088327348 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333333335' to each side of the equation. 0.8333333335 + -0.8333333335 + x = -2.088327348 + -0.8333333335 Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000 0.0000000000 + x = -2.088327348 + -0.8333333335 x = -2.088327348 + -0.8333333335 Combine like terms: -2.088327348 + -0.8333333335 = -2.9216606815 x = -2.9216606815 Simplifying x = -2.9216606815

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.2549940145, -2.9216606815}

See similar equations:

| 4x+2(3x-9)=18 | | 4x-2=0+2 | | 8x-6=1+7x | | a^2+b^2-a*b-1=0 | | x*x-17x+43=-5x+8 | | (-11)+15+(-4)+3=g | | 7(2x-3)=77x | | X^2-2z+4=0 | | b=av | | 34n=68 | | a=bv | | 4n+37n=19473829 | | bc=z | | v=26+24+(-16)+(-1) | | 2.1y=6.51 | | x+(6*x)=84 | | -0.6x-0.5y=1.3 | | 2a^5(8a-5)+5(8a-5)= | | 8-5w=-37-8 | | 500+.35x=2.50x+0 | | 3.1x+2y=8.2 | | x^9(x+1)+3(x+1)= | | 6(3x+2)=216(3x-1) | | 6z+18-15z+10=4z-9 | | 9x^9+9x^8-72x^7+36x^6= | | 6z+18-15z+107=4z-9 | | -6+(-6)+6=k | | 2x+2(4x-2)= | | x^2-80x+1500=0 | | 19x^6-2x^4+17x^3= | | 6z+18-15z+107=8-9 | | (s^2+s+1)=0 |

Equations solver categories