1x(x+7)=4(3+2x)

Solution for 1x(x+7)=4(3+2x) equation:

Simplifying
1x(x + 7) = 4(3 + 2x)

Reorder the terms:
1x(7 + x) = 4(3 + 2x)
(7 * 1x + x * 1x) = 4(3 + 2x)
(7x + 1x2) = 4(3 + 2x)
7x + 1x2 = (3 * 4 + 2x * 4)
7x + 1x2 = (12 + 8x)

Solving
7x + 1x2 = 12 + 8x

Solving for variable 'x'.

Reorder the terms:
-12 + 7x + -8x + 1x2 = 12 + 8x + -12 + -8x

Combine like terms: 7x + -8x = -1x
-12 + -1x + 1x2 = 12 + 8x + -12 + -8x

Reorder the terms:
-12 + -1x + 1x2 = 12 + -12 + 8x + -8x

Combine like terms: 12 + -12 = 0
-12 + -1x + 1x2 = 0 + 8x + -8x
-12 + -1x + 1x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -1x + 1x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-3, 4}