-4a(a+1)-3a=-7(2a-3)

Solution for -4a(a+1)-3a=-7(2a-3) equation:

Simplifying
-4a(a + 1) + -3a = -7(2a + -3)

Reorder the terms:
-4a(1 + a) + -3a = -7(2a + -3)
(1 * -4a + a * -4a) + -3a = -7(2a + -3)
(-4a + -4a2) + -3a = -7(2a + -3)

Reorder the terms:
-4a + -3a + -4a2 = -7(2a + -3)

Combine like terms: -4a + -3a = -7a
-7a + -4a2 = -7(2a + -3)

Reorder the terms:
-7a + -4a2 = -7(-3 + 2a)
-7a + -4a2 = (-3 * -7 + 2a * -7)
-7a + -4a2 = (21 + -14a)

Solving
-7a + -4a2 = 21 + -14a

Solving for variable 'a'.

Reorder the terms:
-21 + -7a + 14a + -4a2 = 21 + -14a + -21 + 14a

Combine like terms: -7a + 14a = 7a
-21 + 7a + -4a2 = 21 + -14a + -21 + 14a

Reorder the terms:
-21 + 7a + -4a2 = 21 + -21 + -14a + 14a

Combine like terms: 21 + -21 = 0
-21 + 7a + -4a2 = 0 + -14a + 14a
-21 + 7a + -4a2 = -14a + 14a

Combine like terms: -14a + 14a = 0
-21 + 7a + -4a2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
5.25 + -1.75a + a2 = 0

Move the constant term to the right:

Add '-5.25' to each side of the equation.
5.25 + -1.75a + -5.25 + a2 = 0 + -5.25

Reorder the terms:
5.25 + -5.25 + -1.75a + a2 = 0 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -1.75a + a2 = 0 + -5.25
-1.75a + a2 = 0 + -5.25

Combine like terms: 0 + -5.25 = -5.25
-1.75a + a2 = -5.25

The a term is -1.75a.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75a + 0.765625 + a2 = -5.25 + 0.765625

Reorder the terms:
0.765625 + -1.75a + a2 = -5.25 + 0.765625

Combine like terms: -5.25 + 0.765625 = -4.484375
0.765625 + -1.75a + a2 = -4.484375

Factor a perfect square on the left side:
(a + -0.875)(a + -0.875) = -4.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.