-2x(-3x-5)=1

Simple and best practice solution for -2x(-3x-5)=1 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 -2x(-3x-5)=1 equation: 


Simplifying
-2x(-3x + -5) = 1

Reorder the terms:
-2x(-5 + -3x) = 1
(-5 * -2x + -3x * -2x) = 1
(10x + 6x2) = 1

Solving
10x + 6x2 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 10x + 6x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10x + 6x2 = 0

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

Divide each side by '6'.
-0.1666666667 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 1.666666667x + 0.1666666667 + x2 = 0 + 0.1666666667

Reorder the terms:
-0.1666666667 + 0.1666666667 + 1.666666667x + x2 = 0 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + 1.666666667x + x2 = 0 + 0.1666666667
1.666666667x + x2 = 0 + 0.1666666667

Combine like terms: 0 + 0.1666666667 = 0.1666666667
1.666666667x + x2 = 0.1666666667

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 = 0.1666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = 0.1666666667 + 0.6944444447

Combine like terms: 0.1666666667 + 0.6944444447 = 0.8611111114
0.6944444447 + 1.666666667x + x2 = 0.8611111114

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = 0.8611111114

Calculate the square root of the right side: 0.927960727

Break this problem into two subproblems by setting 
(x + 0.8333333335) equal to 0.927960727 and -0.927960727.


Subproblem 1
x + 0.8333333335 = 0.927960727

Simplifying
x + 0.8333333335 = 0.927960727

Reorder the terms:
0.8333333335 + x = 0.927960727

Solving
0.8333333335 + x = 0.927960727

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 = 0.927960727 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = 0.927960727 + -0.8333333335
x = 0.927960727 + -0.8333333335

Combine like terms: 0.927960727 + -0.8333333335 = 0.0946273935
x = 0.0946273935

Simplifying
x = 0.0946273935


Subproblem 2
x + 0.8333333335 = -0.927960727

Simplifying
x + 0.8333333335 = -0.927960727

Reorder the terms:
0.8333333335 + x = -0.927960727

Solving
0.8333333335 + x = -0.927960727

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 = -0.927960727 + -0.8333333335

Combine like terms: 0.8333333335 + -0.8333333335 = 0.0000000000
0.0000000000 + x = -0.927960727 + -0.8333333335
x = -0.927960727 + -0.8333333335

Combine like terms: -0.927960727 + -0.8333333335 = -1.7612940605
x = -1.7612940605

Simplifying
x = -1.7612940605


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.0946273935, -1.7612940605}

See similar equations:

| 4(t+18)=8 | | 6x=4c+140 | | 5y+2=y-7 | | 5(a-1)-(2a-3)=5(2a-3)-1 | | -4x-2=1-x | | -(8y+1)=3(-7-4y)+6y | | 90=5x-2(2x-30) | | 24x^2-6x-4=0 | | 25x^2-6x-4=0 | | 1*b*a*y*l*i*n*e*r*2455=1*a*w*e*s*o*m*e*b*o*a*t | | 15-2(5t-3)=1 | | 3+2x=7z | | 3ex=7 | | 8x+56=12x+36 | | 12z^2+7z^2+20=180 | | -5-5x=-11-8x | | 3x^2-xy-2y^2= | | -6x+4=-16-x | | 2.5+5.5x=1 | | 1=-3(2)+b | | 1-4x=10-3x | | 2k(14)+7(2k)-2= | | -5+6x=-2+6x | | 2(3y-5)+4=-4 | | 12x+5y=35400 | | 1*a*c*d*c=1*e*p*i*c*b*a*n*d | | 4y+24-8=0 | | -4+8p-6p-5+20p= | | 6(x-1)+5=3X-10 | | 7x+12y=-64 | | M^2=13m-42 | | 4(2b+2)-3= |

Equations solver categories