(-a)+16a-14a(-7a)-(-20)=(-4)

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Solution for (-a)+16a-14a(-7a)-(-20)=(-4) equation:


Simplifying
(-1a) + 16a + -14a(-7a) + -1(-20) = (-4)

Remove parenthesis around (-7a)
(-1a) + 16a + -14a * -7a + -1(-20) = (-4)

Reorder the terms for easier multiplication:
(-1a) + 16a + -14 * -7a * a + -1(-20) = (-4)

Multiply -14 * -7
(-1a) + 16a + 98a * a + -1(-20) = (-4)

Multiply a * a
(-1a) + 16a + 98a2 + -1(-20) = (-4)

Multiply -1 * -20
(-1a) + 16a + 98a2 + 20 = (-4)

Reorder the terms:
20 + (-1a) + 16a + 98a2 = (-4)

Combine like terms: (-1a) + 16a = 15a
20 + 15a + 98a2 = (-4)
20 + 15a + 98a2 = -4

Solving
20 + 15a + 98a2 = -4

Solving for variable 'a'.

Reorder the terms:
20 + 4 + 15a + 98a2 = -4 + 4

Combine like terms: 20 + 4 = 24
24 + 15a + 98a2 = -4 + 4

Combine like terms: -4 + 4 = 0
24 + 15a + 98a2 = 0

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

Divide each side by '98'.
0.2448979592 + 0.1530612245a + a2 = 0

Move the constant term to the right:

Add '-0.2448979592' to each side of the equation.
0.2448979592 + 0.1530612245a + -0.2448979592 + a2 = 0 + -0.2448979592

Reorder the terms:
0.2448979592 + -0.2448979592 + 0.1530612245a + a2 = 0 + -0.2448979592

Combine like terms: 0.2448979592 + -0.2448979592 = 0.0000000000
0.0000000000 + 0.1530612245a + a2 = 0 + -0.2448979592
0.1530612245a + a2 = 0 + -0.2448979592

Combine like terms: 0 + -0.2448979592 = -0.2448979592
0.1530612245a + a2 = -0.2448979592

The a term is 0.1530612245a.  Take half its coefficient (0.07653061225).
Square it (0.005856934611) and add it to both sides.

Add '0.005856934611' to each side of the equation.
0.1530612245a + 0.005856934611 + a2 = -0.2448979592 + 0.005856934611

Reorder the terms:
0.005856934611 + 0.1530612245a + a2 = -0.2448979592 + 0.005856934611

Combine like terms: -0.2448979592 + 0.005856934611 = -0.239041024589
0.005856934611 + 0.1530612245a + a2 = -0.239041024589

Factor a perfect square on the left side:
(a + 0.07653061225)(a + 0.07653061225) = -0.239041024589

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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