-29=5(2a-1)2a

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Solution for -29=5(2a-1)2a equation:


Simplifying
-29 = 5(2a + -1) * 2a

Reorder the terms:
-29 = 5(-1 + 2a) * 2a

Reorder the terms for easier multiplication:
-29 = 5 * 2a(-1 + 2a)

Multiply 5 * 2
-29 = 10a(-1 + 2a)
-29 = (-1 * 10a + 2a * 10a)
-29 = (-10a + 20a2)

Solving
-29 = -10a + 20a2

Solving for variable 'a'.

Reorder the terms:
-29 + 10a + -20a2 = -10a + 10a + 20a2 + -20a2

Combine like terms: -10a + 10a = 0
-29 + 10a + -20a2 = 0 + 20a2 + -20a2
-29 + 10a + -20a2 = 20a2 + -20a2

Combine like terms: 20a2 + -20a2 = 0
-29 + 10a + -20a2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
1.45 + -0.5a + a2 = 0

Move the constant term to the right:

Add '-1.45' to each side of the equation.
1.45 + -0.5a + -1.45 + a2 = 0 + -1.45

Reorder the terms:
1.45 + -1.45 + -0.5a + a2 = 0 + -1.45

Combine like terms: 1.45 + -1.45 = 0.00
0.00 + -0.5a + a2 = 0 + -1.45
-0.5a + a2 = 0 + -1.45

Combine like terms: 0 + -1.45 = -1.45
-0.5a + a2 = -1.45

The a term is -0.5a.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5a + 0.0625 + a2 = -1.45 + 0.0625

Reorder the terms:
0.0625 + -0.5a + a2 = -1.45 + 0.0625

Combine like terms: -1.45 + 0.0625 = -1.3875
0.0625 + -0.5a + a2 = -1.3875

Factor a perfect square on the left side:
(a + -0.25)(a + -0.25) = -1.3875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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