(3c-7)(2c-5)=6c*6c-29c

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Solution for (3c-7)(2c-5)=6c*6c-29c equation: 


Simplifying
(3c + -7)(2c + -5) = 6c * 6c + -29c

Reorder the terms:
(-7 + 3c)(2c + -5) = 6c * 6c + -29c

Reorder the terms:
(-7 + 3c)(-5 + 2c) = 6c * 6c + -29c

Multiply (-7 + 3c) * (-5 + 2c)
(-7(-5 + 2c) + 3c * (-5 + 2c)) = 6c * 6c + -29c
((-5 * -7 + 2c * -7) + 3c * (-5 + 2c)) = 6c * 6c + -29c
((35 + -14c) + 3c * (-5 + 2c)) = 6c * 6c + -29c
(35 + -14c + (-5 * 3c + 2c * 3c)) = 6c * 6c + -29c
(35 + -14c + (-15c + 6c2)) = 6c * 6c + -29c

Combine like terms: -14c + -15c = -29c
(35 + -29c + 6c2) = 6c * 6c + -29c

Reorder the terms for easier multiplication:
35 + -29c + 6c2 = 6 * 6c * c + -29c

Multiply 6 * 6
35 + -29c + 6c2 = 36c * c + -29c

Multiply c * c
35 + -29c + 6c2 = 36c2 + -29c

Reorder the terms:
35 + -29c + 6c2 = -29c + 36c2

Add '29c' to each side of the equation.
35 + -29c + 29c + 6c2 = -29c + 29c + 36c2

Combine like terms: -29c + 29c = 0
35 + 0 + 6c2 = -29c + 29c + 36c2
35 + 6c2 = -29c + 29c + 36c2

Combine like terms: -29c + 29c = 0
35 + 6c2 = 0 + 36c2
35 + 6c2 = 36c2

Solving
35 + 6c2 = 36c2

Solving for variable 'c'.

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

Add '-36c2' to each side of the equation.
35 + 6c2 + -36c2 = 36c2 + -36c2

Combine like terms: 6c2 + -36c2 = -30c2
35 + -30c2 = 36c2 + -36c2

Combine like terms: 36c2 + -36c2 = 0
35 + -30c2 = 0

Add '-35' to each side of the equation.
35 + -35 + -30c2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -30c2 = 0 + -35
-30c2 = 0 + -35

Combine like terms: 0 + -35 = -35
-30c2 = -35

Divide each side by '-30'.
c2 = 1.166666667

Simplifying
c2 = 1.166666667

Take the square root of each side:
c = {-1.08012345, 1.08012345}

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