4a^2b+28ab^2+7ab=0

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Solution for 4a^2b+28ab^2+7ab=0 equation:


Simplifying
4a2b + 28ab2 + 7ab = 0

Reorder the terms:
7ab + 28ab2 + 4a2b = 0

Solving
7ab + 28ab2 + 4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(7 + 28b + 4a) = 0

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 '(7 + 28b + 4a)' equal to zero and attempt to solve: Simplifying 7 + 28b + 4a = 0 Reorder the terms: 7 + 4a + 28b = 0 Solving 7 + 4a + 28b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4a + -7 + 28b = 0 + -7 Reorder the terms: 7 + -7 + 4a + 28b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a + 28b = 0 + -7 4a + 28b = 0 + -7 Combine like terms: 0 + -7 = -7 4a + 28b = -7 Add '-28b' to each side of the equation. 4a + 28b + -28b = -7 + -28b Combine like terms: 28b + -28b = 0 4a + 0 = -7 + -28b 4a = -7 + -28b Divide each side by '4'. a = -1.75 + -7b Simplifying a = -1.75 + -7b

Solution

a = {-1.75 + -7b}

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