(4a+2)(4a+2)=

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Solution for (4a+2)(4a+2)= equation:


Simplifying
(4a + 2)(4a + 2) = 0

Reorder the terms:
(2 + 4a)(4a + 2) = 0

Reorder the terms:
(2 + 4a)(2 + 4a) = 0

Multiply (2 + 4a) * (2 + 4a)
(2(2 + 4a) + 4a * (2 + 4a)) = 0
((2 * 2 + 4a * 2) + 4a * (2 + 4a)) = 0
((4 + 8a) + 4a * (2 + 4a)) = 0
(4 + 8a + (2 * 4a + 4a * 4a)) = 0
(4 + 8a + (8a + 16a2)) = 0

Combine like terms: 8a + 8a = 16a
(4 + 16a + 16a2) = 0

Solving
4 + 16a + 16a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 4a + 4a2) = 0

Factor a trinomial.
4((1 + 2a)(1 + 2a)) = 0

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

a = {-0.5, -0.5}

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