(2x+57)(56x-6)=

Solution for (2x+57)(56x-6)= equation:

Simplifying
(2x + 57)(56x + -6) = 0

Reorder the terms:
(57 + 2x)(56x + -6) = 0

Reorder the terms:
(57 + 2x)(-6 + 56x) = 0

Multiply (57 + 2x) * (-6 + 56x)
(57(-6 + 56x) + 2x * (-6 + 56x)) = 0
((-6 * 57 + 56x * 57) + 2x * (-6 + 56x)) = 0
((-342 + 3192x) + 2x * (-6 + 56x)) = 0
(-342 + 3192x + (-6 * 2x + 56x * 2x)) = 0
(-342 + 3192x + (-12x + 112x2)) = 0

Combine like terms: 3192x + -12x = 3180x
(-342 + 3180x + 112x2) = 0

Solving
-342 + 3180x + 112x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-171 + 1590x + 56x2) = 0

Factor a trinomial.
2((-57 + -2x)(3 + -28x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-57 + -2x)' equal to zero and attempt to solve:

Simplifying
-57 + -2x = 0

Solving
-57 + -2x = 0

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

Add '57' to each side of the equation.
-57 + 57 + -2x = 0 + 57

Combine like terms: -57 + 57 = 0
0 + -2x = 0 + 57
-2x = 0 + 57

Combine like terms: 0 + 57 = 57
-2x = 57

Divide each side by '-2'.
x = -28.5

Simplifying
x = -28.5
Subproblem 2
Set the factor '(3 + -28x)' equal to zero and attempt to solve:

Simplifying
3 + -28x = 0

Solving
3 + -28x = 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 + -28x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -28x = 0 + -3
-28x = 0 + -3

Combine like terms: 0 + -3 = -3
-28x = -3

Divide each side by '-28'.
x = 0.1071428571

Simplifying
x = 0.1071428571
Solution
x = {-28.5, 0.1071428571}