-14q(-20q)-7q-3=-14

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Solution for -14q(-20q)-7q-3=-14 equation: 


Simplifying
-14q(-20q) + -7q + -3 = -14

Remove parenthesis around (-20q)
-14q * -20q + -7q + -3 = -14

Reorder the terms for easier multiplication:
-14 * -20q * q + -7q + -3 = -14

Multiply -14 * -20
280q * q + -7q + -3 = -14

Multiply q * q
280q2 + -7q + -3 = -14

Reorder the terms:
-3 + -7q + 280q2 = -14

Solving
-3 + -7q + 280q2 = -14

Solving for variable 'q'.

Reorder the terms:
-3 + 14 + -7q + 280q2 = -14 + 14

Combine like terms: -3 + 14 = 11
11 + -7q + 280q2 = -14 + 14

Combine like terms: -14 + 14 = 0
11 + -7q + 280q2 = 0

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

Divide each side by '280'.
0.03928571429 + -0.025q + q2 = 0.0

Move the constant term to the right:

Add '-0.03928571429' to each side of the equation.
0.03928571429 + -0.025q + -0.03928571429 + q2 = 0.0 + -0.03928571429

Reorder the terms:
0.03928571429 + -0.03928571429 + -0.025q + q2 = 0.0 + -0.03928571429

Combine like terms: 0.03928571429 + -0.03928571429 = 0.00000000000
0.00000000000 + -0.025q + q2 = 0.0 + -0.03928571429
-0.025q + q2 = 0.0 + -0.03928571429

Combine like terms: 0.0 + -0.03928571429 = -0.03928571429
-0.025q + q2 = -0.03928571429

The q term is -0.025q.  Take half its coefficient (-0.0125).
Square it (0.00015625) and add it to both sides.

Add '0.00015625' to each side of the equation.
-0.025q + 0.00015625 + q2 = -0.03928571429 + 0.00015625

Reorder the terms:
0.00015625 + -0.025q + q2 = -0.03928571429 + 0.00015625

Combine like terms: -0.03928571429 + 0.00015625 = -0.03912946429
0.00015625 + -0.025q + q2 = -0.03912946429

Factor a perfect square on the left side:
(q + -0.0125)(q + -0.0125) = -0.03912946429

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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