16ax+4x^2+16a^2=

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Solution for 16ax+4x^2+16a^2= equation:


Simplifying
16ax + 4x2 + 16a2 = 0

Reorder the terms:
16ax + 16a2 + 4x2 = 0

Solving
16ax + 16a2 + 4x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4ax + 4a2 + x2) = 0

Factor a trinomial.
4((2a + x)(2a + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2a + x)' equal to zero and attempt to solve: Simplifying 2a + x = 0 Solving 2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2a + 0 = 0 + -1x 2a = 0 + -1x Remove the zero: 2a = -1x Divide each side by '2'. a = -0.5x Simplifying a = -0.5x

Subproblem 2

Set the factor '(2a + x)' equal to zero and attempt to solve: Simplifying 2a + x = 0 Solving 2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 2a + 0 = 0 + -1x 2a = 0 + -1x Remove the zero: 2a = -1x Divide each side by '2'. a = -0.5x Simplifying a = -0.5x

Solution

a = {-0.5x, -0.5x}

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