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

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Solution for (x+2)(x-5)=18 equation: 


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

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

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

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

Combine like terms: 2x + -5x = -3x
(-10 + -3x + x2) = 18

Solving
-10 + -3x + x2 = 18

Solving for variable 'x'.

Reorder the terms:
-10 + -18 + -3x + x2 = 18 + -18

Combine like terms: -10 + -18 = -28
-28 + -3x + x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-28 + -3x + x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}

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