(2x+14)(x-3)=111

Simple and best practice solution for (2x+14)(x-3)=111 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+14)(x-3)=111 equation:


Simplifying
(2x + 14)(x + -3) = 111

Reorder the terms:
(14 + 2x)(x + -3) = 111

Reorder the terms:
(14 + 2x)(-3 + x) = 111

Multiply (14 + 2x) * (-3 + x)
(14(-3 + x) + 2x * (-3 + x)) = 111
((-3 * 14 + x * 14) + 2x * (-3 + x)) = 111
((-42 + 14x) + 2x * (-3 + x)) = 111
(-42 + 14x + (-3 * 2x + x * 2x)) = 111
(-42 + 14x + (-6x + 2x2)) = 111

Combine like terms: 14x + -6x = 8x
(-42 + 8x + 2x2) = 111

Solving
-42 + 8x + 2x2 = 111

Solving for variable 'x'.

Reorder the terms:
-42 + -111 + 8x + 2x2 = 111 + -111

Combine like terms: -42 + -111 = -153
-153 + 8x + 2x2 = 111 + -111

Combine like terms: 111 + -111 = 0
-153 + 8x + 2x2 = 0

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

Divide each side by '2'.
-76.5 + 4x + x2 = 0

Move the constant term to the right:

Add '76.5' to each side of the equation.
-76.5 + 4x + 76.5 + x2 = 0 + 76.5

Reorder the terms:
-76.5 + 76.5 + 4x + x2 = 0 + 76.5

Combine like terms: -76.5 + 76.5 = 0.0
0.0 + 4x + x2 = 0 + 76.5
4x + x2 = 0 + 76.5

Combine like terms: 0 + 76.5 = 76.5
4x + x2 = 76.5

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 76.5 + 4

Reorder the terms:
4 + 4x + x2 = 76.5 + 4

Combine like terms: 76.5 + 4 = 80.5
4 + 4x + x2 = 80.5

Factor a perfect square on the left side:
(x + 2)(x + 2) = 80.5

Calculate the square root of the right side: 8.972179222

Break this problem into two subproblems by setting 
(x + 2) equal to 8.972179222 and -8.972179222.

Subproblem 1

x + 2 = 8.972179222 Simplifying x + 2 = 8.972179222 Reorder the terms: 2 + x = 8.972179222 Solving 2 + x = 8.972179222 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 8.972179222 + -2 Combine like terms: 2 + -2 = 0 0 + x = 8.972179222 + -2 x = 8.972179222 + -2 Combine like terms: 8.972179222 + -2 = 6.972179222 x = 6.972179222 Simplifying x = 6.972179222

Subproblem 2

x + 2 = -8.972179222 Simplifying x + 2 = -8.972179222 Reorder the terms: 2 + x = -8.972179222 Solving 2 + x = -8.972179222 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -8.972179222 + -2 Combine like terms: 2 + -2 = 0 0 + x = -8.972179222 + -2 x = -8.972179222 + -2 Combine like terms: -8.972179222 + -2 = -10.972179222 x = -10.972179222 Simplifying x = -10.972179222

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.972179222, -10.972179222}

See similar equations:

| 9x+4(-2x-7)=-19-8x | | 3(2z-5)=5(z+2) | | 1+2x=6+x | | 18(x-40)=36(x-30) | | 8x+12=77-5x | | 3(X-2)=6 | | 8(x-5)+3x=5(x+2) | | 7x-6x=19 | | 5(X-12)=-25 | | 5r+2r=0 | | 23+x=47 | | 7y+12=4y-(y+1) | | 3(X+6)=12 | | x^2y^2=2y^3-12 | | 5x-4=7x | | 4c-11=17 | | 9=1+5k-7k | | 21(x-12)=-21(x-26) | | 9x-9=6x | | 17(x-25)=-17+3(x+34) | | 7x-25=-88 | | -10-8x^2+5x^6-3x^3+x= | | (2x+14)(x-3)=90 | | 10=-3a+1 | | 3b-12=15 | | 4x^4+5x^3-7x^4= | | 6x^9+3x^9-5x^9= | | 7X+9=10X-18 | | -9+10m=161 | | 9X+25=52 | | 6X-35=77 | | (x+7)(x-3)=90 |

Equations solver categories