(28x+6)(32x-6)=

Solution for (28x+6)(32x-6)= equation:

Simplifying
(28x + 6)(32x + -6) = 0

Reorder the terms:
(6 + 28x)(32x + -6) = 0

Reorder the terms:
(6 + 28x)(-6 + 32x) = 0

Multiply (6 + 28x) * (-6 + 32x)
(6(-6 + 32x) + 28x * (-6 + 32x)) = 0
((-6 * 6 + 32x * 6) + 28x * (-6 + 32x)) = 0
((-36 + 192x) + 28x * (-6 + 32x)) = 0
(-36 + 192x + (-6 * 28x + 32x * 28x)) = 0
(-36 + 192x + (-168x + 896x2)) = 0

Combine like terms: 192x + -168x = 24x
(-36 + 24x + 896x2) = 0

Solving
-36 + 24x + 896x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 6x + 224x2) = 0

Factor a trinomial.
4((-3 + -14x)(3 + -16x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-3 + -14x)' equal to zero and attempt to solve:

Simplifying
-3 + -14x = 0

Solving
-3 + -14x = 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 + -14x = 0 + 3

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

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

Divide each side by '-14'.
x = -0.2142857143

Simplifying
x = -0.2142857143
Subproblem 2
Set the factor '(3 + -16x)' equal to zero and attempt to solve:

Simplifying
3 + -16x = 0

Solving
3 + -16x = 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 + -16x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 0 + -3
-16x = 0 + -3

Combine like terms: 0 + -3 = -3
-16x = -3

Divide each side by '-16'.
x = 0.1875

Simplifying
x = 0.1875
Solution
x = {-0.2142857143, 0.1875}