(1-3x)*(1-3x)-(2x-3)(2x+3)=5(x*x)

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Solution for (1-3x)*(1-3x)-(2x-3)(2x+3)=5(x*x) equation: 


Simplifying
(1 + -3x)(1 + -3x) + -1(2x + -3)(2x + 3) = 5(x * x)

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

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) + -1(2x + -3)(2x + 3) = 5(x * x)

Reorder the terms:
1 + -6x + 9x2 + -1(-3 + 2x)(2x + 3) = 5(x * x)

Reorder the terms:
1 + -6x + 9x2 + -1(-3 + 2x)(3 + 2x) = 5(x * x)

Multiply (-3 + 2x) * (3 + 2x)
1 + -6x + 9x2 + -1(-3(3 + 2x) + 2x * (3 + 2x)) = 5(x * x)
1 + -6x + 9x2 + -1((3 * -3 + 2x * -3) + 2x * (3 + 2x)) = 5(x * x)
1 + -6x + 9x2 + -1((-9 + -6x) + 2x * (3 + 2x)) = 5(x * x)
1 + -6x + 9x2 + -1(-9 + -6x + (3 * 2x + 2x * 2x)) = 5(x * x)
1 + -6x + 9x2 + -1(-9 + -6x + (6x + 4x2)) = 5(x * x)

Combine like terms: -6x + 6x = 0
1 + -6x + 9x2 + -1(-9 + 0 + 4x2) = 5(x * x)
1 + -6x + 9x2 + -1(-9 + 4x2) = 5(x * x)
1 + -6x + 9x2 + (-9 * -1 + 4x2 * -1) = 5(x * x)
1 + -6x + 9x2 + (9 + -4x2) = 5(x * x)

Reorder the terms:
1 + 9 + -6x + 9x2 + -4x2 = 5(x * x)

Combine like terms: 1 + 9 = 10
10 + -6x + 9x2 + -4x2 = 5(x * x)

Combine like terms: 9x2 + -4x2 = 5x2
10 + -6x + 5x2 = 5(x * x)

Multiply x * x
10 + -6x + 5x2 = 5(x2)

Add '-5x2' to each side of the equation.
10 + -6x + 5x2 + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
10 + -6x + 0 = 5x2 + -5x2
10 + -6x = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
10 + -6x = 0

Solving
10 + -6x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -6x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 0 + -10
-6x = 0 + -10

Combine like terms: 0 + -10 = -10
-6x = -10

Divide each side by '-6'.
x = 1.666666667

Simplifying
x = 1.666666667

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