(x+2)(9x-42)=

Solution for (x+2)(9x-42)= equation:

Simplifying
(x + 2)(9x + -42) = 0

Reorder the terms:
(2 + x)(9x + -42) = 0

Reorder the terms:
(2 + x)(-42 + 9x) = 0

Multiply (2 + x) * (-42 + 9x)
(2(-42 + 9x) + x(-42 + 9x)) = 0
((-42 * 2 + 9x * 2) + x(-42 + 9x)) = 0
((-84 + 18x) + x(-42 + 9x)) = 0
(-84 + 18x + (-42 * x + 9x * x)) = 0
(-84 + 18x + (-42x + 9x2)) = 0

Combine like terms: 18x + -42x = -24x
(-84 + -24x + 9x2) = 0

Solving
-84 + -24x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-28 + -8x + 3x2) = 0

Factor a trinomial.
3((-2 + -1x)(14 + -3x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667
Solution
x = {-2, 4.666666667}