x(2x+11)-(x+5)(3x+8)=10

Simple and best practice solution for x(2x+11)-(x+5)(3x+8)=10 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 x(2x+11)-(x+5)(3x+8)=10 equation: 


Simplifying
x(2x + 11) + -1(x + 5)(3x + 8) = 10

Reorder the terms:
x(11 + 2x) + -1(x + 5)(3x + 8) = 10
(11 * x + 2x * x) + -1(x + 5)(3x + 8) = 10
(11x + 2x2) + -1(x + 5)(3x + 8) = 10

Reorder the terms:
11x + 2x2 + -1(5 + x)(3x + 8) = 10

Reorder the terms:
11x + 2x2 + -1(5 + x)(8 + 3x) = 10

Multiply (5 + x) * (8 + 3x)
11x + 2x2 + -1(5(8 + 3x) + x(8 + 3x)) = 10
11x + 2x2 + -1((8 * 5 + 3x * 5) + x(8 + 3x)) = 10
11x + 2x2 + -1((40 + 15x) + x(8 + 3x)) = 10
11x + 2x2 + -1(40 + 15x + (8 * x + 3x * x)) = 10
11x + 2x2 + -1(40 + 15x + (8x + 3x2)) = 10

Combine like terms: 15x + 8x = 23x
11x + 2x2 + -1(40 + 23x + 3x2) = 10
11x + 2x2 + (40 * -1 + 23x * -1 + 3x2 * -1) = 10
11x + 2x2 + (-40 + -23x + -3x2) = 10

Reorder the terms:
-40 + 11x + -23x + 2x2 + -3x2 = 10

Combine like terms: 11x + -23x = -12x
-40 + -12x + 2x2 + -3x2 = 10

Combine like terms: 2x2 + -3x2 = -1x2
-40 + -12x + -1x2 = 10

Solving
-40 + -12x + -1x2 = 10

Solving for variable 'x'.

Reorder the terms:
-40 + -10 + -12x + -1x2 = 10 + -10

Combine like terms: -40 + -10 = -50
-50 + -12x + -1x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-50 + -12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(50 + 12x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(50 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
50 + 12x + x2 = 0

Solving
50 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 12x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + 12x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 12x + x2 = 0 + -50
12x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
12x + x2 = -50

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -50 + 36

Reorder the terms:
36 + 12x + x2 = -50 + 36

Combine like terms: -50 + 36 = -14
36 + 12x + x2 = -14

Factor a perfect square on the left side:
(x + 6)(x + 6) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| x/5=x/6+1 | | 3w-16w=-78 | | =ab+bc | | 3x+50=2x+150 | | =3abc+2a^2c | | 10x+1=4-5 | | 2x+3x=40 | | 26-46=4(x-1)-4 | | 38+7(x-3)=9(x-1) | | =3abc-2a^2c | | (3m^3+8m^2-2)+(2m^3-8m+9)= | | 4t^2-21=25t | | =4b^3c-8b^2c^2 | | 2018/11= | | y-35=6y | | 5n-25=-28+8n | | 3x-5=13-3(x+8)-32+x | | 3(x-4)-4(x-3)=x+3-(-2) | | 7-2y=-5 | | 5x=8.4 | | 5x+140=12x-14 | | -2xy+2xy+12y= | | 12-7x=34-14x | | x^2-13xy-48y^2=0 | | 82-4x=7x+15 | | (x+3)(x-4)-52=-x | | -(1)-4(-1)(2)+3(8)= | | (x+5)(x-3)-x=5 | | (x-3)(x+2)=-4 | | M-5.6=-0.9 | | X=16+2y | | 40x-5y=3.2 |

Equations solver categories