(x-1)(x-4)=24

Simple and best practice solution for (x-1)(x-4)=24 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-4)=24 equation:


Simplifying
(x + -1)(x + -4) = 24

Reorder the terms:
(-1 + x)(x + -4) = 24

Reorder the terms:
(-1 + x)(-4 + x) = 24

Multiply (-1 + x) * (-4 + x)
(-1(-4 + x) + x(-4 + x)) = 24
((-4 * -1 + x * -1) + x(-4 + x)) = 24
((4 + -1x) + x(-4 + x)) = 24
(4 + -1x + (-4 * x + x * x)) = 24
(4 + -1x + (-4x + x2)) = 24

Combine like terms: -1x + -4x = -5x
(4 + -5x + x2) = 24

Solving
4 + -5x + x2 = 24

Solving for variable 'x'.

Reorder the terms:
4 + -24 + -5x + x2 = 24 + -24

Combine like terms: 4 + -24 = -20
-20 + -5x + x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-20 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + -5x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + -5x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -5x + x2 = 0 + 20
-5x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
-5x + x2 = 20

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = 20 + 6.25

Reorder the terms:
6.25 + -5x + x2 = 20 + 6.25

Combine like terms: 20 + 6.25 = 26.25
6.25 + -5x + x2 = 26.25

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = 26.25

Calculate the square root of the right side: 5.123475383

Break this problem into two subproblems by setting 
(x + -2.5) equal to 5.123475383 and -5.123475383.

Subproblem 1

x + -2.5 = 5.123475383 Simplifying x + -2.5 = 5.123475383 Reorder the terms: -2.5 + x = 5.123475383 Solving -2.5 + x = 5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 5.123475383 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 5.123475383 + 2.5 x = 5.123475383 + 2.5 Combine like terms: 5.123475383 + 2.5 = 7.623475383 x = 7.623475383 Simplifying x = 7.623475383

Subproblem 2

x + -2.5 = -5.123475383 Simplifying x + -2.5 = -5.123475383 Reorder the terms: -2.5 + x = -5.123475383 Solving -2.5 + x = -5.123475383 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -5.123475383 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -5.123475383 + 2.5 x = -5.123475383 + 2.5 Combine like terms: -5.123475383 + 2.5 = -2.623475383 x = -2.623475383 Simplifying x = -2.623475383

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.623475383, -2.623475383}

See similar equations:

| 2ax+x-a= | | ht=-16t^2+128t+12 | | .5n-4=6 | | s=(8-2)*180 | | 10/b^-1 | | 5.5n=82.5 | | 2X+48=120-X | | .20y+2=-3 | | m/12=35/84 | | (13x-4)+(12-9x)= | | S=(12-2)*180 | | (z+5)squared=47 | | 10/28=2/x | | X=36y-9 | | .1(x+60)+.1x=7 | | 6q=60 | | 4xc=16 | | (x+12)=6 | | 1/2=5n | | 1.2=4.2 | | -108=-6(2a+8) | | -87=3(1-6n) | | 80=(8)(5)(h) | | 232=-8(-5-6n) | | -(2X-6)=5-3X | | 2x^3+18x-40=0 | | 6+4u-5= | | 2/8=1/x | | 2/8=x1/x | | -2n+7(1-8n)=471 | | 3/x-2/5x | | 18x-1=10x-41 |

Equations solver categories