(8a-5)(8a-5)=

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Solution for (8a-5)(8a-5)= equation:


Simplifying
(8a + -5)(8a + -5) = 0

Reorder the terms:
(-5 + 8a)(8a + -5) = 0

Reorder the terms:
(-5 + 8a)(-5 + 8a) = 0

Multiply (-5 + 8a) * (-5 + 8a)
(-5(-5 + 8a) + 8a * (-5 + 8a)) = 0
((-5 * -5 + 8a * -5) + 8a * (-5 + 8a)) = 0
((25 + -40a) + 8a * (-5 + 8a)) = 0
(25 + -40a + (-5 * 8a + 8a * 8a)) = 0
(25 + -40a + (-40a + 64a2)) = 0

Combine like terms: -40a + -40a = -80a
(25 + -80a + 64a2) = 0

Solving
25 + -80a + 64a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + -8a)(5 + -8a) = 0

Subproblem 1

Set the factor '(5 + -8a)' equal to zero and attempt to solve: Simplifying 5 + -8a = 0 Solving 5 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8a = 0 + -5 -8a = 0 + -5 Combine like terms: 0 + -5 = -5 -8a = -5 Divide each side by '-8'. a = 0.625 Simplifying a = 0.625

Subproblem 2

Set the factor '(5 + -8a)' equal to zero and attempt to solve: Simplifying 5 + -8a = 0 Solving 5 + -8a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8a = 0 + -5 -8a = 0 + -5 Combine like terms: 0 + -5 = -5 -8a = -5 Divide each side by '-8'. a = 0.625 Simplifying a = 0.625

Solution

a = {0.625, 0.625}

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