-16(x+6)=4x(x-14)

Solution for -16(x+6)=4x(x-14) equation:

Simplifying
-16(x + 6) = 4x(x + -14)

Reorder the terms:
-16(6 + x) = 4x(x + -14)
(6 * -16 + x * -16) = 4x(x + -14)
(-96 + -16x) = 4x(x + -14)

Reorder the terms:
-96 + -16x = 4x(-14 + x)
-96 + -16x = (-14 * 4x + x * 4x)
-96 + -16x = (-56x + 4x2)

Solving
-96 + -16x = -56x + 4x2

Solving for variable 'x'.

Combine like terms: -16x + 56x = 40x
-96 + 40x + -4x2 = -56x + 4x2 + 56x + -4x2

Reorder the terms:
-96 + 40x + -4x2 = -56x + 56x + 4x2 + -4x2

Combine like terms: -56x + 56x = 0
-96 + 40x + -4x2 = 0 + 4x2 + -4x2
-96 + 40x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-96 + 40x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + 10x + -1x2) = 0

Factor a trinomial.
4((-6 + x)(4 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
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 = {6, 4}