(x-5)(x-4)=124

Simple and best practice solution for (x-5)(x-4)=124 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-5)(x-4)=124 equation:


Simplifying
(x + -5)(x + -4) = 124

Reorder the terms:
(-5 + x)(x + -4) = 124

Reorder the terms:
(-5 + x)(-4 + x) = 124

Multiply (-5 + x) * (-4 + x)
(-5(-4 + x) + x(-4 + x)) = 124
((-4 * -5 + x * -5) + x(-4 + x)) = 124
((20 + -5x) + x(-4 + x)) = 124
(20 + -5x + (-4 * x + x * x)) = 124
(20 + -5x + (-4x + x2)) = 124

Combine like terms: -5x + -4x = -9x
(20 + -9x + x2) = 124

Solving
20 + -9x + x2 = 124

Solving for variable 'x'.

Reorder the terms:
20 + -124 + -9x + x2 = 124 + -124

Combine like terms: 20 + -124 = -104
-104 + -9x + x2 = 124 + -124

Combine like terms: 124 + -124 = 0
-104 + -9x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '104' to each side of the equation.
-104 + -9x + 104 + x2 = 0 + 104

Reorder the terms:
-104 + 104 + -9x + x2 = 0 + 104

Combine like terms: -104 + 104 = 0
0 + -9x + x2 = 0 + 104
-9x + x2 = 0 + 104

Combine like terms: 0 + 104 = 104
-9x + x2 = 104

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = 104 + 20.25

Reorder the terms:
20.25 + -9x + x2 = 104 + 20.25

Combine like terms: 104 + 20.25 = 124.25
20.25 + -9x + x2 = 124.25

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = 124.25

Calculate the square root of the right side: 11.146748405

Break this problem into two subproblems by setting 
(x + -4.5) equal to 11.146748405 and -11.146748405.

Subproblem 1

x + -4.5 = 11.146748405 Simplifying x + -4.5 = 11.146748405 Reorder the terms: -4.5 + x = 11.146748405 Solving -4.5 + x = 11.146748405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = 11.146748405 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = 11.146748405 + 4.5 x = 11.146748405 + 4.5 Combine like terms: 11.146748405 + 4.5 = 15.646748405 x = 15.646748405 Simplifying x = 15.646748405

Subproblem 2

x + -4.5 = -11.146748405 Simplifying x + -4.5 = -11.146748405 Reorder the terms: -4.5 + x = -11.146748405 Solving -4.5 + x = -11.146748405 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + x = -11.146748405 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + x = -11.146748405 + 4.5 x = -11.146748405 + 4.5 Combine like terms: -11.146748405 + 4.5 = -6.646748405 x = -6.646748405 Simplifying x = -6.646748405

Solution

The solution to the problem is based on the solutions from the subproblems. x = {15.646748405, -6.646748405}

See similar equations:

| -4-4x=12 | | (2+2x)+i=3-4yi | | 10y-1=-71 | | -6x-8-5x=-41 | | X(.44)=135 | | W/54=8/9 | | 1+5x+3x=73 | | 7-y=0 | | 150y=300 | | -2y+7+5y=-30 | | 7/9h=-28 | | 1.4-5.9=12.3 | | f(x)=x^3-10x^2+19x+30jx-6 | | 4x=4(15) | | 4x-14=-7 | | -x+2y-4z=5 | | W+2.16=6.44 | | F(5)=3x^2+8 | | 3x-3+2=3x-1 | | 7n+7+3+17=180 | | -3/4x-8=1/2 | | 8x-1=4x+12 | | 3.8x=-9.24 | | 6x+10+2x+26=180 | | 6x+102x+26=180 | | (2x-3)/7,x15 | | 1.1w+w=9.03 | | 6n+17+11n-7=180 | | (X+2)(3x+12)=36 | | 3/5-4/x | | 3w+3f=17.70-1{2w+3f=15.55} | | 2f+3f-7f=48 |

Equations solver categories