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

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


Simplifying
5x(2x + 3) + -2x + -1 = 0

Reorder the terms:
5x(3 + 2x) + -2x + -1 = 0
(3 * 5x + 2x * 5x) + -2x + -1 = 0
(15x + 10x2) + -2x + -1 = 0

Reorder the terms:
-1 + 15x + -2x + 10x2 = 0

Combine like terms: 15x + -2x = 13x
-1 + 13x + 10x2 = 0

Solving
-1 + 13x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
-0.1 + 1.3x + x2 = 0.0

Move the constant term to the right:

Add '0.1' to each side of the equation.
-0.1 + 1.3x + 0.1 + x2 = 0.0 + 0.1

Reorder the terms:
-0.1 + 0.1 + 1.3x + x2 = 0.0 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 1.3x + x2 = 0.0 + 0.1
1.3x + x2 = 0.0 + 0.1

Combine like terms: 0.0 + 0.1 = 0.1
1.3x + x2 = 0.1

The x term is 1.3x.  Take half its coefficient (0.65).
Square it (0.4225) and add it to both sides.

Add '0.4225' to each side of the equation.
1.3x + 0.4225 + x2 = 0.1 + 0.4225

Reorder the terms:
0.4225 + 1.3x + x2 = 0.1 + 0.4225

Combine like terms: 0.1 + 0.4225 = 0.5225
0.4225 + 1.3x + x2 = 0.5225

Factor a perfect square on the left side:
(x + 0.65)(x + 0.65) = 0.5225

Calculate the square root of the right side: 0.722841615

Break this problem into two subproblems by setting 
(x + 0.65) equal to 0.722841615 and -0.722841615.

Subproblem 1

x + 0.65 = 0.722841615 Simplifying x + 0.65 = 0.722841615 Reorder the terms: 0.65 + x = 0.722841615 Solving 0.65 + x = 0.722841615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65' to each side of the equation. 0.65 + -0.65 + x = 0.722841615 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + x = 0.722841615 + -0.65 x = 0.722841615 + -0.65 Combine like terms: 0.722841615 + -0.65 = 0.072841615 x = 0.072841615 Simplifying x = 0.072841615

Subproblem 2

x + 0.65 = -0.722841615 Simplifying x + 0.65 = -0.722841615 Reorder the terms: 0.65 + x = -0.722841615 Solving 0.65 + x = -0.722841615 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.65' to each side of the equation. 0.65 + -0.65 + x = -0.722841615 + -0.65 Combine like terms: 0.65 + -0.65 = 0.00 0.00 + x = -0.722841615 + -0.65 x = -0.722841615 + -0.65 Combine like terms: -0.722841615 + -0.65 = -1.372841615 x = -1.372841615 Simplifying x = -1.372841615

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.072841615, -1.372841615}

See similar equations:

| 6x^3+54x^2+48x= | | x=34+y | | -5x^6(6x^3-5x^2-9x)= | | Log*4(5x+1)=2 | | 5x^3-15x^2+10x= | | (−10v^4x^6-5u^2v^2)/(15v^5) | | .08x+1.2y=5.0 | | 42(4x+50)=x-7 | | -7(5a+7b)= | | 2x-3-4=10 | | -18x^4y^5-63x^7y^4= | | 2y*dy=3y | | W^2-w=52 | | 7(-6x+y-8)= | | 30/1.8 | | 16x+3=2x+15 | | 7t=t+24 | | 7x^2-80x-48=0 | | 2x-68=x | | 3x-4/4=13 | | 4u-87=u | | 10x^2+29x-15=0 | | 17x^2-2x-75=0 | | (3x-1)+5x-2(x+5)=121 | | 15m+12m^2=0 | | 8r-(3r-6)-(r-7)= | | 0.2Y+2r=176 | | x=16b-360 | | x^2-70x+60=0 | | b=16x-360 | | 3x-1/5= | | 121b^2+144= |

Equations solver categories