4a^2-28ab+49ab^2=0

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Solution for 4a^2-28ab+49ab^2=0 equation:


Simplifying
4a2 + -28ab + 49ab2 = 0

Reorder the terms:
-28ab + 49ab2 + 4a2 = 0

Solving
-28ab + 49ab2 + 4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-28b + 49b2 + 4a) = 0

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-28b + 49b2 + 4a)' equal to zero and attempt to solve: Simplifying -28b + 49b2 + 4a = 0 Reorder the terms: 4a + -28b + 49b2 = 0 Solving 4a + -28b + 49b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '28b' to each side of the equation. 4a + -28b + 28b + 49b2 = 0 + 28b Combine like terms: -28b + 28b = 0 4a + 0 + 49b2 = 0 + 28b 4a + 49b2 = 0 + 28b Remove the zero: 4a + 49b2 = 28b Add '-49b2' to each side of the equation. 4a + 49b2 + -49b2 = 28b + -49b2 Combine like terms: 49b2 + -49b2 = 0 4a + 0 = 28b + -49b2 4a = 28b + -49b2 Divide each side by '4'. a = 7b + -12.25b2 Simplifying a = 7b + -12.25b2

Solution

a = {0, 7b + -12.25b2}

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