(x-1)(x-5)=4(x+32)

Simple and best practice solution for (x-1)(x-5)=4(x+32) 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-1)(x-5)=4(x+32) equation:


Simplifying
(x + -1)(x + -5) = 4(x + 32)

Reorder the terms:
(-1 + x)(x + -5) = 4(x + 32)

Reorder the terms:
(-1 + x)(-5 + x) = 4(x + 32)

Multiply (-1 + x) * (-5 + x)
(-1(-5 + x) + x(-5 + x)) = 4(x + 32)
((-5 * -1 + x * -1) + x(-5 + x)) = 4(x + 32)
((5 + -1x) + x(-5 + x)) = 4(x + 32)
(5 + -1x + (-5 * x + x * x)) = 4(x + 32)
(5 + -1x + (-5x + x2)) = 4(x + 32)

Combine like terms: -1x + -5x = -6x
(5 + -6x + x2) = 4(x + 32)

Reorder the terms:
5 + -6x + x2 = 4(32 + x)
5 + -6x + x2 = (32 * 4 + x * 4)
5 + -6x + x2 = (128 + 4x)

Solving
5 + -6x + x2 = 128 + 4x

Solving for variable 'x'.

Reorder the terms:
5 + -128 + -6x + -4x + x2 = 128 + 4x + -128 + -4x

Combine like terms: 5 + -128 = -123
-123 + -6x + -4x + x2 = 128 + 4x + -128 + -4x

Combine like terms: -6x + -4x = -10x
-123 + -10x + x2 = 128 + 4x + -128 + -4x

Reorder the terms:
-123 + -10x + x2 = 128 + -128 + 4x + -4x

Combine like terms: 128 + -128 = 0
-123 + -10x + x2 = 0 + 4x + -4x
-123 + -10x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-123 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '123' to each side of the equation.
-123 + -10x + 123 + x2 = 0 + 123

Reorder the terms:
-123 + 123 + -10x + x2 = 0 + 123

Combine like terms: -123 + 123 = 0
0 + -10x + x2 = 0 + 123
-10x + x2 = 0 + 123

Combine like terms: 0 + 123 = 123
-10x + x2 = 123

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = 123 + 25

Reorder the terms:
25 + -10x + x2 = 123 + 25

Combine like terms: 123 + 25 = 148
25 + -10x + x2 = 148

Factor a perfect square on the left side:
(x + -5)(x + -5) = 148

Calculate the square root of the right side: 12.165525061

Break this problem into two subproblems by setting 
(x + -5) equal to 12.165525061 and -12.165525061.

Subproblem 1

x + -5 = 12.165525061 Simplifying x + -5 = 12.165525061 Reorder the terms: -5 + x = 12.165525061 Solving -5 + x = 12.165525061 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 12.165525061 + 5 Combine like terms: -5 + 5 = 0 0 + x = 12.165525061 + 5 x = 12.165525061 + 5 Combine like terms: 12.165525061 + 5 = 17.165525061 x = 17.165525061 Simplifying x = 17.165525061

Subproblem 2

x + -5 = -12.165525061 Simplifying x + -5 = -12.165525061 Reorder the terms: -5 + x = -12.165525061 Solving -5 + x = -12.165525061 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = -12.165525061 + 5 Combine like terms: -5 + 5 = 0 0 + x = -12.165525061 + 5 x = -12.165525061 + 5 Combine like terms: -12.165525061 + 5 = -7.165525061 x = -7.165525061 Simplifying x = -7.165525061

Solution

The solution to the problem is based on the solutions from the subproblems. x = {17.165525061, -7.165525061}

See similar equations:

| p(p-1)=90 | | 8x-(2x+14)=40 | | 8z^3+10z^2-3z=0 | | y-6=2/3(x-3) | | 2/3x-5/9x=-3 | | 10x^3+1x^2-2x=0 | | -4+8y=-6 | | -4(10+2y)+8y=-6 | | 3/4x-1/2=1/3 | | 3x+2(x+16)=77 | | 15xa=165 | | x+y+z=0.5 | | 8y^3-2y^2-y=0 | | log(x+15)+log(x+115)=5 | | 3y=(x+z) | | 2(3x-7)-(x-4)=5.x | | 3ln(c+5)=21 | | 1/4s=23 | | 1/8s=24 | | 2y-74=28 | | 5x+20y+16z=5.75 | | 27a-9b/8b-24a | | 5x+16=86 | | 2v^2-20v+42=(v-7)2 | | ln(0,5)/ln(0,87) | | 0=3x^2-5/2x-16/3 | | 1/2(5h)^2=1440 | | 1/2(5h)^2 | | sqrtx^2+x-2=2 | | (4x-7)(x-3)=0 | | (x-9)(2x+2)=-4(x-9) | | 5y+19=3y-37 |

Equations solver categories