(x+4)(x-2)=5x

Simple and best practice solution for (x+4)(x-2)=5x 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+4)(x-2)=5x equation:


Simplifying
(x + 4)(x + -2) = 5x

Reorder the terms:
(4 + x)(x + -2) = 5x

Reorder the terms:
(4 + x)(-2 + x) = 5x

Multiply (4 + x) * (-2 + x)
(4(-2 + x) + x(-2 + x)) = 5x
((-2 * 4 + x * 4) + x(-2 + x)) = 5x
((-8 + 4x) + x(-2 + x)) = 5x
(-8 + 4x + (-2 * x + x * x)) = 5x
(-8 + 4x + (-2x + x2)) = 5x

Combine like terms: 4x + -2x = 2x
(-8 + 2x + x2) = 5x

Solving
-8 + 2x + x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-8 + 2x + -5x + x2 = 5x + -5x

Combine like terms: 2x + -5x = -3x
-8 + -3x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '8' to each side of the equation.
-8 + -3x + 8 + x2 = 0 + 8

Reorder the terms:
-8 + 8 + -3x + x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x + x2 = 0 + 8
-3x + x2 = 0 + 8

Combine like terms: 0 + 8 = 8
-3x + x2 = 8

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = 8 + 2.25

Reorder the terms:
2.25 + -3x + x2 = 8 + 2.25

Combine like terms: 8 + 2.25 = 10.25
2.25 + -3x + x2 = 10.25

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(x + -1.5) equal to 3.201562119 and -3.201562119.

Subproblem 1

x + -1.5 = 3.201562119 Simplifying x + -1.5 = 3.201562119 Reorder the terms: -1.5 + x = 3.201562119 Solving -1.5 + x = 3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 3.201562119 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 3.201562119 + 1.5 x = 3.201562119 + 1.5 Combine like terms: 3.201562119 + 1.5 = 4.701562119 x = 4.701562119 Simplifying x = 4.701562119

Subproblem 2

x + -1.5 = -3.201562119 Simplifying x + -1.5 = -3.201562119 Reorder the terms: -1.5 + x = -3.201562119 Solving -1.5 + x = -3.201562119 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -3.201562119 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -3.201562119 + 1.5 x = -3.201562119 + 1.5 Combine like terms: -3.201562119 + 1.5 = -1.701562119 x = -1.701562119 Simplifying x = -1.701562119

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.701562119, -1.701562119}

See similar equations:

| y=13x-18 | | 3x^2+4x=15 | | 12x^2-x-1=0 | | -3t+9=13-7t | | -5x+9y=21 | | 4t=5t-7 | | 3(2x-1)=-3 | | 7x-86=4x-11 | | -4z^2+6z+5=0 | | 14c-2c=45 | | R^2-9r+18=0 | | 11x-x=90 | | N^2+9n+14=0 | | R^2-r-2=0 | | V^2-5v+6=0 | | P^2+3p-40=0 | | 53-3x=15x+21 | | 8-10x=53-45x | | 5x+4=5x-7 | | 13-8x=73-22x | | 4(5x+2)=19x-4 | | x^2-24x=0 | | 7x+13=2-7x | | 38-4x=5x+21 | | 6b+5b=-66 | | x^2+3x-156=0 | | a^2-18a+80=0 | | 3x+x-3=13 | | 0x-3=3 | | 10=-16t^2+50t+4 | | 8(2x+5)(2x-5)=0 | | 16+n=8 |

Equations solver categories