(x-5)(x-2)=18

Simple and best practice solution for (x-5)(x-2)=18 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-2)=18 equation: 


Simplifying
(x + -5)(x + -2) = 18

Reorder the terms:
(-5 + x)(x + -2) = 18

Reorder the terms:
(-5 + x)(-2 + x) = 18

Multiply (-5 + x) * (-2 + x)
(-5(-2 + x) + x(-2 + x)) = 18
((-2 * -5 + x * -5) + x(-2 + x)) = 18
((10 + -5x) + x(-2 + x)) = 18
(10 + -5x + (-2 * x + x * x)) = 18
(10 + -5x + (-2x + x2)) = 18

Combine like terms: -5x + -2x = -7x
(10 + -7x + x2) = 18

Solving
10 + -7x + x2 = 18

Solving for variable 'x'.

Reorder the terms:
10 + -18 + -7x + x2 = 18 + -18

Combine like terms: 10 + -18 = -8
-8 + -7x + x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-8 + -7x + x2 = 0

Factor a trinomial.
(-1 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-1, 8}

See similar equations:

| 30-2x=6-8x | | 3x+8=-24-5x | | 8x+7-5x+2=6x-1-x | | X-2(X-7)-(X+3)=2(3-X) | | x^2+19x-21=0 | | x^2-19x+21=0 | | 4x-13=o | | p=-3q+75 | | 12x*x+4x=0 | | (6-z)(3z+5)=0 | | 8x+0.7=1.8-2x | | m=4/7,y(0,2) | | -8+3x=-12x+14x | | m=4/7,y-intercept(0,2) | | 4x*x=2x | | 4x*4x=2x | | m^4-m^3-9m^2-11m-4=0 | | 9a+3=8a+6 | | [19-(-3)]x(-4)= | | x*x+x=0 | | (3x-9)(5-2x)=0 | | (x-2)(x+2)=x^2+12x+36 | | 4y+5=53 | | 6.5x+4.5x=500 | | 2x^3-xy^2+2y^2+2y=0 | | 4ln(11/x) | | 7x+4x=500 | | 7x+4x=10 | | x^2+9x-1620=0 | | (-5)-(-1)= | | x^2-9x+1620=0 | | x+7+2x+5+x+x+3=50 |

Equations solver categories