(7x+14)(x-3)=

Solution for (7x+14)(x-3)= equation:

Simplifying
(7x + 14)(x + -3) = 0

Reorder the terms:
(14 + 7x)(x + -3) = 0

Reorder the terms:
(14 + 7x)(-3 + x) = 0

Multiply (14 + 7x) * (-3 + x)
(14(-3 + x) + 7x * (-3 + x)) = 0
((-3 * 14 + x * 14) + 7x * (-3 + x)) = 0
((-42 + 14x) + 7x * (-3 + x)) = 0
(-42 + 14x + (-3 * 7x + x * 7x)) = 0
(-42 + 14x + (-21x + 7x2)) = 0

Combine like terms: 14x + -21x = -7x
(-42 + -7x + 7x2) = 0

Solving
-42 + -7x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-6 + -1x + x2) = 0

Factor a trinomial.
7((-2 + -1x)(3 + -1x)) = 0

Ignore the factor 7.
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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2, 3}