Factor completely. 36c^2−8cd+49d^2

Simplifying

36c2 + -84cd + 49d2 = 0

Reorder the terms:

-84cd + 36c2 + 49d2 = 0

Solving

-84cd + 36c2 + 49d2 = 0

Solving for variable 'c'.

Factor a trinomial.

(6c + -7d)(6c + -7d) = 0

Subproblem 1

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

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

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Subproblem 2

Set the factor '(6c + -7d)' equal to zero and attempt to solve:

Simplifying

6c + -7d = 0

Solving

6c + -7d = 0

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

Add '7d' to each side of the equation.

6c + -7d + 7d = 0 + 7d

Combine like terms: -7d + 7d = 0

6c + 0 = 0 + 7d

6c = 0 + 7d

Remove the zero:

6c = 7d

Divide each side by '6'.

c = 1.166666667d

Simplifying

c = 1.166666667d

Solution

c = {1.166666667d, 1.166666667d}

RATE

Step-by-step explanation:

A RATE is a type of ratio that is often used to compare two quantities having different units.

Rate can apply in various systems of measurements.

It can be used to compare:

Rate of change with Respect to Time

Quantity of goods bought at the rate of certain prices

Rate at which work is done with respect to man power labour available

Rate of taxes with respect to businesses done or goods bought or services rendered.

Much more!