(3a-5)(3a-5)=0

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Solution for (3a-5)(3a-5)=0 equation:


Simplifying
(3a + -5)(3a + -5) = 0

Reorder the terms:
(-5 + 3a)(3a + -5) = 0

Reorder the terms:
(-5 + 3a)(-5 + 3a) = 0

Multiply (-5 + 3a) * (-5 + 3a)
(-5(-5 + 3a) + 3a * (-5 + 3a)) = 0
((-5 * -5 + 3a * -5) + 3a * (-5 + 3a)) = 0
((25 + -15a) + 3a * (-5 + 3a)) = 0
(25 + -15a + (-5 * 3a + 3a * 3a)) = 0
(25 + -15a + (-15a + 9a2)) = 0

Combine like terms: -15a + -15a = -30a
(25 + -30a + 9a2) = 0

Solving
25 + -30a + 9a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5 + -3a)(5 + -3a) = 0

Subproblem 1

Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 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 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667

Subproblem 2

Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 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 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667

Solution

a = {1.666666667, 1.666666667}

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