(14x+4)(14x-4)=196x-16

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Solution for (14x+4)(14x-4)=196x-16 equation: 


Simplifying
(14x + 4)(14x + -4) = 196x + -16

Reorder the terms:
(4 + 14x)(14x + -4) = 196x + -16

Reorder the terms:
(4 + 14x)(-4 + 14x) = 196x + -16

Multiply (4 + 14x) * (-4 + 14x)
(4(-4 + 14x) + 14x * (-4 + 14x)) = 196x + -16
((-4 * 4 + 14x * 4) + 14x * (-4 + 14x)) = 196x + -16
((-16 + 56x) + 14x * (-4 + 14x)) = 196x + -16
(-16 + 56x + (-4 * 14x + 14x * 14x)) = 196x + -16
(-16 + 56x + (-56x + 196x2)) = 196x + -16

Combine like terms: 56x + -56x = 0
(-16 + 0 + 196x2) = 196x + -16
(-16 + 196x2) = 196x + -16

Reorder the terms:
-16 + 196x2 = -16 + 196x

Add '16' to each side of the equation.
-16 + 16 + 196x2 = -16 + 16 + 196x

Combine like terms: -16 + 16 = 0
0 + 196x2 = -16 + 16 + 196x
196x2 = -16 + 16 + 196x

Combine like terms: -16 + 16 = 0
196x2 = 0 + 196x
196x2 = 196x

Solving
196x2 = 196x

Solving for variable 'x'.

Reorder the terms:
-196x + 196x2 = 196x + -196x

Combine like terms: 196x + -196x = 0
-196x + 196x2 = 0

Factor out the Greatest Common Factor (GCF), '196x'.
196x(-1 + x) = 0

Ignore the factor 196.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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