(3c+2)(2c-7)+3(-2c+1)(7c-5)=

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Solution for (3c+2)(2c-7)+3(-2c+1)(7c-5)= equation: 


Simplifying
(3c + 2)(2c + -7) + 3(-2c + 1)(7c + -5) = 0

Reorder the terms:
(2 + 3c)(2c + -7) + 3(-2c + 1)(7c + -5) = 0

Reorder the terms:
(2 + 3c)(-7 + 2c) + 3(-2c + 1)(7c + -5) = 0

Multiply (2 + 3c) * (-7 + 2c)
(2(-7 + 2c) + 3c * (-7 + 2c)) + 3(-2c + 1)(7c + -5) = 0
((-7 * 2 + 2c * 2) + 3c * (-7 + 2c)) + 3(-2c + 1)(7c + -5) = 0
((-14 + 4c) + 3c * (-7 + 2c)) + 3(-2c + 1)(7c + -5) = 0
(-14 + 4c + (-7 * 3c + 2c * 3c)) + 3(-2c + 1)(7c + -5) = 0
(-14 + 4c + (-21c + 6c2)) + 3(-2c + 1)(7c + -5) = 0

Combine like terms: 4c + -21c = -17c
(-14 + -17c + 6c2) + 3(-2c + 1)(7c + -5) = 0

Reorder the terms:
-14 + -17c + 6c2 + 3(1 + -2c)(7c + -5) = 0

Reorder the terms:
-14 + -17c + 6c2 + 3(1 + -2c)(-5 + 7c) = 0

Multiply (1 + -2c) * (-5 + 7c)
-14 + -17c + 6c2 + 3(1(-5 + 7c) + -2c * (-5 + 7c)) = 0
-14 + -17c + 6c2 + 3((-5 * 1 + 7c * 1) + -2c * (-5 + 7c)) = 0
-14 + -17c + 6c2 + 3((-5 + 7c) + -2c * (-5 + 7c)) = 0
-14 + -17c + 6c2 + 3(-5 + 7c + (-5 * -2c + 7c * -2c)) = 0
-14 + -17c + 6c2 + 3(-5 + 7c + (10c + -14c2)) = 0

Combine like terms: 7c + 10c = 17c
-14 + -17c + 6c2 + 3(-5 + 17c + -14c2) = 0
-14 + -17c + 6c2 + (-5 * 3 + 17c * 3 + -14c2 * 3) = 0
-14 + -17c + 6c2 + (-15 + 51c + -42c2) = 0

Reorder the terms:
-14 + -15 + -17c + 51c + 6c2 + -42c2 = 0

Combine like terms: -14 + -15 = -29
-29 + -17c + 51c + 6c2 + -42c2 = 0

Combine like terms: -17c + 51c = 34c
-29 + 34c + 6c2 + -42c2 = 0

Combine like terms: 6c2 + -42c2 = -36c2
-29 + 34c + -36c2 = 0

Solving
-29 + 34c + -36c2 = 0

Solving for variable 'c'.

Begin completing the square.  Divide all terms by
-36 the coefficient of the squared term: 

Divide each side by '-36'.
0.8055555556 + -0.9444444444c + c2 = 0

Move the constant term to the right:

Add '-0.8055555556' to each side of the equation.
0.8055555556 + -0.9444444444c + -0.8055555556 + c2 = 0 + -0.8055555556

Reorder the terms:
0.8055555556 + -0.8055555556 + -0.9444444444c + c2 = 0 + -0.8055555556

Combine like terms: 0.8055555556 + -0.8055555556 = 0.0000000000
0.0000000000 + -0.9444444444c + c2 = 0 + -0.8055555556
-0.9444444444c + c2 = 0 + -0.8055555556

Combine like terms: 0 + -0.8055555556 = -0.8055555556
-0.9444444444c + c2 = -0.8055555556

The c term is -0.9444444444c.  Take half its coefficient (-0.4722222222).
Square it (0.2229938271) and add it to both sides.

Add '0.2229938271' to each side of the equation.
-0.9444444444c + 0.2229938271 + c2 = -0.8055555556 + 0.2229938271

Reorder the terms:
0.2229938271 + -0.9444444444c + c2 = -0.8055555556 + 0.2229938271

Combine like terms: -0.8055555556 + 0.2229938271 = -0.5825617285
0.2229938271 + -0.9444444444c + c2 = -0.5825617285

Factor a perfect square on the left side:
(c + -0.4722222222)(c + -0.4722222222) = -0.5825617285

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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