0=240a^2b-60ab+105ab^2

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Solution for 0=240a^2b-60ab+105ab^2 equation:


Simplifying
0 = 240a2b + -60ab + 105ab2

Reorder the terms:
0 = -60ab + 105ab2 + 240a2b

Solving
0 = -60ab + 105ab2 + 240a2b

Solving for variable 'a'.
Remove the zero:
60ab + -105ab2 + -240a2b = -60ab + 105ab2 + 240a2b + 60ab + -105ab2 + -240a2b

Reorder the terms:
60ab + -105ab2 + -240a2b = -60ab + 60ab + 105ab2 + -105ab2 + 240a2b + -240a2b

Combine like terms: -60ab + 60ab = 0
60ab + -105ab2 + -240a2b = 0 + 105ab2 + -105ab2 + 240a2b + -240a2b
60ab + -105ab2 + -240a2b = 105ab2 + -105ab2 + 240a2b + -240a2b

Combine like terms: 105ab2 + -105ab2 = 0
60ab + -105ab2 + -240a2b = 0 + 240a2b + -240a2b
60ab + -105ab2 + -240a2b = 240a2b + -240a2b

Combine like terms: 240a2b + -240a2b = 0
60ab + -105ab2 + -240a2b = 0

Factor out the Greatest Common Factor (GCF), '15ab'.
15ab(4 + -7b + -16a) = 0

Ignore the factor 15.

Subproblem 1

Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + -7b + -16a)' equal to zero and attempt to solve: Simplifying 4 + -7b + -16a = 0 Reorder the terms: 4 + -16a + -7b = 0 Solving 4 + -16a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -16a + -4 + -7b = 0 + -4 Reorder the terms: 4 + -4 + -16a + -7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -16a + -7b = 0 + -4 -16a + -7b = 0 + -4 Combine like terms: 0 + -4 = -4 -16a + -7b = -4 Add '7b' to each side of the equation. -16a + -7b + 7b = -4 + 7b Combine like terms: -7b + 7b = 0 -16a + 0 = -4 + 7b -16a = -4 + 7b Divide each side by '-16'. a = 0.25 + -0.4375b Simplifying a = 0.25 + -0.4375b

Solution

a = {0.25 + -0.4375b}

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