(5c-1)(6c-3)=30c^2-21c+3

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Solution for (5c-1)(6c-3)=30c^2-21c+3 equation:


Simplifying
(5c + -1)(6c + -3) = 30c2 + -21c + 3

Reorder the terms:
(-1 + 5c)(6c + -3) = 30c2 + -21c + 3

Reorder the terms:
(-1 + 5c)(-3 + 6c) = 30c2 + -21c + 3

Multiply (-1 + 5c) * (-3 + 6c)
(-1(-3 + 6c) + 5c * (-3 + 6c)) = 30c2 + -21c + 3
((-3 * -1 + 6c * -1) + 5c * (-3 + 6c)) = 30c2 + -21c + 3
((3 + -6c) + 5c * (-3 + 6c)) = 30c2 + -21c + 3
(3 + -6c + (-3 * 5c + 6c * 5c)) = 30c2 + -21c + 3
(3 + -6c + (-15c + 30c2)) = 30c2 + -21c + 3

Combine like terms: -6c + -15c = -21c
(3 + -21c + 30c2) = 30c2 + -21c + 3

Reorder the terms:
3 + -21c + 30c2 = 3 + -21c + 30c2

Add '-3' to each side of the equation.
3 + -21c + -3 + 30c2 = 3 + -21c + -3 + 30c2

Reorder the terms:
3 + -3 + -21c + 30c2 = 3 + -21c + -3 + 30c2

Combine like terms: 3 + -3 = 0
0 + -21c + 30c2 = 3 + -21c + -3 + 30c2
-21c + 30c2 = 3 + -21c + -3 + 30c2

Reorder the terms:
-21c + 30c2 = 3 + -3 + -21c + 30c2

Combine like terms: 3 + -3 = 0
-21c + 30c2 = 0 + -21c + 30c2
-21c + 30c2 = -21c + 30c2

Add '21c' to each side of the equation.
-21c + 21c + 30c2 = -21c + 21c + 30c2

Combine like terms: -21c + 21c = 0
0 + 30c2 = -21c + 21c + 30c2
30c2 = -21c + 21c + 30c2

Combine like terms: -21c + 21c = 0
30c2 = 0 + 30c2
30c2 = 30c2

Add '-30c2' to each side of the equation.
30c2 + -30c2 = 30c2 + -30c2

Combine like terms: 30c2 + -30c2 = 0
0 = 30c2 + -30c2

Combine like terms: 30c2 + -30c2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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