[(3x-3)*(3x-3)]-(2x-7)=(3x-5)*(3x+5)

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Solution for [(3x-3)*(3x-3)]-(2x-7)=(3x-5)*(3x+5) equation: 


Simplifying
[(3x + -3)(3x + -3)] + -1(2x + -7) = (3x + -5)(3x + 5)

Reorder the terms:
[(-3 + 3x)(3x + -3)] + -1(2x + -7) = (3x + -5)(3x + 5)

Reorder the terms:
[(-3 + 3x)(-3 + 3x)] + -1(2x + -7) = (3x + -5)(3x + 5)

Multiply (-3 + 3x) * (-3 + 3x)
[(-3(-3 + 3x) + 3x * (-3 + 3x))] + -1(2x + -7) = (3x + -5)(3x + 5)
[((-3 * -3 + 3x * -3) + 3x * (-3 + 3x))] + -1(2x + -7) = (3x + -5)(3x + 5)
[((9 + -9x) + 3x * (-3 + 3x))] + -1(2x + -7) = (3x + -5)(3x + 5)
[(9 + -9x + (-3 * 3x + 3x * 3x))] + -1(2x + -7) = (3x + -5)(3x + 5)
[(9 + -9x + (-9x + 9x2))] + -1(2x + -7) = (3x + -5)(3x + 5)

Combine like terms: -9x + -9x = -18x
[(9 + -18x + 9x2)] + -1(2x + -7) = (3x + -5)(3x + 5)
[9 + -18x + 9x2] + -1(2x + -7) = (3x + -5)(3x + 5)

Remove brackets around [9 + -18x + 9x2]
9 + -18x + 9x2 + -1(2x + -7) = (3x + -5)(3x + 5)

Reorder the terms:
9 + -18x + 9x2 + -1(-7 + 2x) = (3x + -5)(3x + 5)
9 + -18x + 9x2 + (-7 * -1 + 2x * -1) = (3x + -5)(3x + 5)
9 + -18x + 9x2 + (7 + -2x) = (3x + -5)(3x + 5)

Reorder the terms:
9 + 7 + -18x + -2x + 9x2 = (3x + -5)(3x + 5)

Combine like terms: 9 + 7 = 16
16 + -18x + -2x + 9x2 = (3x + -5)(3x + 5)

Combine like terms: -18x + -2x = -20x
16 + -20x + 9x2 = (3x + -5)(3x + 5)

Reorder the terms:
16 + -20x + 9x2 = (-5 + 3x)(3x + 5)

Reorder the terms:
16 + -20x + 9x2 = (-5 + 3x)(5 + 3x)

Multiply (-5 + 3x) * (5 + 3x)
16 + -20x + 9x2 = (-5(5 + 3x) + 3x * (5 + 3x))
16 + -20x + 9x2 = ((5 * -5 + 3x * -5) + 3x * (5 + 3x))
16 + -20x + 9x2 = ((-25 + -15x) + 3x * (5 + 3x))
16 + -20x + 9x2 = (-25 + -15x + (5 * 3x + 3x * 3x))
16 + -20x + 9x2 = (-25 + -15x + (15x + 9x2))

Combine like terms: -15x + 15x = 0
16 + -20x + 9x2 = (-25 + 0 + 9x2)
16 + -20x + 9x2 = (-25 + 9x2)

Add '-9x2' to each side of the equation.
16 + -20x + 9x2 + -9x2 = -25 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
16 + -20x + 0 = -25 + 9x2 + -9x2
16 + -20x = -25 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
16 + -20x = -25 + 0
16 + -20x = -25

Solving
16 + -20x = -25

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + -20x = -25 + -16

Combine like terms: 16 + -16 = 0
0 + -20x = -25 + -16
-20x = -25 + -16

Combine like terms: -25 + -16 = -41
-20x = -41

Divide each side by '-20'.
x = 2.05

Simplifying
x = 2.05

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