[2a+(5b-3)][2a-(5b-3)]=

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Solution for [2a+(5b-3)][2a-(5b-3)]= equation: 


Simplifying
[2a + (5b + -3)][2a + -1(5b + -3)] = 0

Reorder the terms:
[2a + (-3 + 5b)][2a + -1(5b + -3)] = 0

Remove parenthesis around (-3 + 5b)
[2a + -3 + 5b][2a + -1(5b + -3)] = 0

Reorder the terms:
[-3 + 2a + 5b][2a + -1(5b + -3)] = 0

Reorder the terms:
[-3 + 2a + 5b][2a + -1(-3 + 5b)] = 0
[-3 + 2a + 5b][2a + (-3 * -1 + 5b * -1)] = 0
[-3 + 2a + 5b][2a + (3 + -5b)] = 0

Reorder the terms:
[-3 + 2a + 5b][3 + 2a + -5b] = 0

Multiply [-3 + 2a + 5b] * [3 + 2a + -5b]
[-3[3 + 2a + -5b] + 2a * [3 + 2a + -5b] + 5b * [3 + 2a + -5b]] = 0
[[3 * -3 + 2a * -3 + -5b * -3] + 2a * [3 + 2a + -5b] + 5b * [3 + 2a + -5b]] = 0
[[-9 + -6a + 15b] + 2a * [3 + 2a + -5b] + 5b * [3 + 2a + -5b]] = 0
[-9 + -6a + 15b + [3 * 2a + 2a * 2a + -5b * 2a] + 5b * [3 + 2a + -5b]] = 0

Reorder the terms:
[-9 + -6a + 15b + [6a + -10ab + 4a2] + 5b * [3 + 2a + -5b]] = 0
[-9 + -6a + 15b + [6a + -10ab + 4a2] + 5b * [3 + 2a + -5b]] = 0
[-9 + -6a + 15b + 6a + -10ab + 4a2 + [3 * 5b + 2a * 5b + -5b * 5b]] = 0

Reorder the terms:
[-9 + -6a + 15b + 6a + -10ab + 4a2 + [10ab + 15b + -25b2]] = 0
[-9 + -6a + 15b + 6a + -10ab + 4a2 + [10ab + 15b + -25b2]] = 0

Reorder the terms:
[-9 + -6a + 6a + -10ab + 10ab + 4a2 + 15b + 15b + -25b2] = 0

Combine like terms: -6a + 6a = 0
[-9 + 0 + -10ab + 10ab + 4a2 + 15b + 15b + -25b2] = 0
[-9 + -10ab + 10ab + 4a2 + 15b + 15b + -25b2] = 0

Combine like terms: -10ab + 10ab = 0
[-9 + 0 + 4a2 + 15b + 15b + -25b2] = 0
[-9 + 4a2 + 15b + 15b + -25b2] = 0

Combine like terms: 15b + 15b = 30b
[-9 + 4a2 + 30b + -25b2] = 0

Solving
-9 + 4a2 + 30b + -25b2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 4a2 + 30b + 9 + -25b2 = 0 + 9

Reorder the terms:
-9 + 9 + 4a2 + 30b + -25b2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4a2 + 30b + -25b2 = 0 + 9
4a2 + 30b + -25b2 = 0 + 9

Combine like terms: 0 + 9 = 9
4a2 + 30b + -25b2 = 9

Add '-30b' to each side of the equation.
4a2 + 30b + -30b + -25b2 = 9 + -30b

Combine like terms: 30b + -30b = 0
4a2 + 0 + -25b2 = 9 + -30b
4a2 + -25b2 = 9 + -30b

Add '25b2' to each side of the equation.
4a2 + -25b2 + 25b2 = 9 + -30b + 25b2

Combine like terms: -25b2 + 25b2 = 0
4a2 + 0 = 9 + -30b + 25b2
4a2 = 9 + -30b + 25b2

Divide each side by '4'.
a2 = 2.25 + -7.5b + 6.25b2

Simplifying
a2 = 2.25 + -7.5b + 6.25b2

Reorder the terms:
-2.25 + a2 + 7.5b + -6.25b2 = 2.25 + -7.5b + 6.25b2 + -2.25 + 7.5b + -6.25b2

Reorder the terms:
-2.25 + a2 + 7.5b + -6.25b2 = 2.25 + -2.25 + -7.5b + 7.5b + 6.25b2 + -6.25b2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + a2 + 7.5b + -6.25b2 = 0.00 + -7.5b + 7.5b + 6.25b2 + -6.25b2
-2.25 + a2 + 7.5b + -6.25b2 = -7.5b + 7.5b + 6.25b2 + -6.25b2

Combine like terms: -7.5b + 7.5b = 0.0
-2.25 + a2 + 7.5b + -6.25b2 = 0.0 + 6.25b2 + -6.25b2
-2.25 + a2 + 7.5b + -6.25b2 = 6.25b2 + -6.25b2

Combine like terms: 6.25b2 + -6.25b2 = 0.00
-2.25 + a2 + 7.5b + -6.25b2 = 0.00

The solution to this equation could not be determined.

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