(2x-3a)(-2x+3a)=

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Solution for (2x-3a)(-2x+3a)= equation:


Simplifying
(2x + -3a)(-2x + 3a) = 0

Reorder the terms:
(-3a + 2x)(-2x + 3a) = 0

Reorder the terms:
(-3a + 2x)(3a + -2x) = 0

Multiply (-3a + 2x) * (3a + -2x)
(-3a * (3a + -2x) + 2x * (3a + -2x)) = 0
((3a * -3a + -2x * -3a) + 2x * (3a + -2x)) = 0

Reorder the terms:
((6ax + -9a2) + 2x * (3a + -2x)) = 0
((6ax + -9a2) + 2x * (3a + -2x)) = 0
(6ax + -9a2 + (3a * 2x + -2x * 2x)) = 0
(6ax + -9a2 + (6ax + -4x2)) = 0

Reorder the terms:
(6ax + 6ax + -9a2 + -4x2) = 0

Combine like terms: 6ax + 6ax = 12ax
(12ax + -9a2 + -4x2) = 0

Solving
12ax + -9a2 + -4x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3a + 2x)(3a + -2x) = 0

Subproblem 1

Set the factor '(-3a + 2x)' equal to zero and attempt to solve: Simplifying -3a + 2x = 0 Solving -3a + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. -3a + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 -3a + 0 = 0 + -2x -3a = 0 + -2x Remove the zero: -3a = -2x Divide each side by '-3'. a = 0.6666666667x Simplifying a = 0.6666666667x

Subproblem 2

Set the factor '(3a + -2x)' equal to zero and attempt to solve: Simplifying 3a + -2x = 0 Solving 3a + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2x' to each side of the equation. 3a + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 3a + 0 = 0 + 2x 3a = 0 + 2x Remove the zero: 3a = 2x Divide each side by '3'. a = 0.6666666667x Simplifying a = 0.6666666667x

Solution

a = {0.6666666667x, 0.6666666667x}

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