(x-0.6)(x+6)-0.66x+0.25=2x-0.3-(0.33+x)(0.33-x)

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Solution for (x-0.6)(x+6)-0.66x+0.25=2x-0.3-(0.33+x)(0.33-x) equation: 


Simplifying
(x + -0.6)(x + 6) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Reorder the terms:
(-0.6 + x)(x + 6) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Reorder the terms:
(-0.6 + x)(6 + x) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Multiply (-0.6 + x) * (6 + x)
(-0.6(6 + x) + x(6 + x)) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)
((6 * -0.6 + x * -0.6) + x(6 + x)) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)
((-3.6 + -0.6x) + x(6 + x)) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)
(-3.6 + -0.6x + (6 * x + x * x)) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)
(-3.6 + -0.6x + (6x + x2)) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Combine like terms: -0.6x + 6x = 5.4x
(-3.6 + 5.4x + x2) + -0.66x + 0.25 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Reorder the terms:
-3.6 + 0.25 + 5.4x + -0.66x + x2 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Combine like terms: -3.6 + 0.25 = -3.35
-3.35 + 5.4x + -0.66x + x2 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Combine like terms: 5.4x + -0.66x = 4.74x
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.33 + x)(0.33 + -1x)

Multiply (0.33 + x) * (0.33 + -1x)
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.33(0.33 + -1x) + x(0.33 + -1x))
-3.35 + 4.74x + x2 = 2x + -0.3 + -1((0.33 * 0.33 + -1x * 0.33) + x(0.33 + -1x))
-3.35 + 4.74x + x2 = 2x + -0.3 + -1((0.1089 + -0.33x) + x(0.33 + -1x))
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.1089 + -0.33x + (0.33 * x + -1x * x))
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.1089 + -0.33x + (0.33x + -1x2))

Combine like terms: -0.33x + 0.33x = 0.00
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.1089 + 0.00 + -1x2)
-3.35 + 4.74x + x2 = 2x + -0.3 + -1(0.1089 + -1x2)
-3.35 + 4.74x + x2 = 2x + -0.3 + (0.1089 * -1 + -1x2 * -1)
-3.35 + 4.74x + x2 = 2x + -0.3 + (-0.1089 + 1x2)

Reorder the terms:
-3.35 + 4.74x + x2 = -0.3 + -0.1089 + 2x + 1x2

Combine like terms: -0.3 + -0.1089 = -0.4089
-3.35 + 4.74x + x2 = -0.4089 + 2x + 1x2

Solving
-3.35 + 4.74x + x2 = -0.4089 + 2x + 1x2

Solving for variable 'x'.

Reorder the terms:
-3.35 + 0.4089 + 4.74x + -2x + x2 + -1x2 = -0.4089 + 2x + 1x2 + 0.4089 + -2x + -1x2

Combine like terms: -3.35 + 0.4089 = -2.9411
-2.9411 + 4.74x + -2x + x2 + -1x2 = -0.4089 + 2x + 1x2 + 0.4089 + -2x + -1x2

Combine like terms: 4.74x + -2x = 2.74x
-2.9411 + 2.74x + x2 + -1x2 = -0.4089 + 2x + 1x2 + 0.4089 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
-2.9411 + 2.74x + 0 = -0.4089 + 2x + 1x2 + 0.4089 + -2x + -1x2
-2.9411 + 2.74x = -0.4089 + 2x + 1x2 + 0.4089 + -2x + -1x2

Reorder the terms:
-2.9411 + 2.74x = -0.4089 + 0.4089 + 2x + -2x + 1x2 + -1x2

Combine like terms: -0.4089 + 0.4089 = 0.0000
-2.9411 + 2.74x = 0.0000 + 2x + -2x + 1x2 + -1x2
-2.9411 + 2.74x = 2x + -2x + 1x2 + -1x2

Combine like terms: 2x + -2x = 0
-2.9411 + 2.74x = 0 + 1x2 + -1x2
-2.9411 + 2.74x = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-2.9411 + 2.74x = 0

The solution to this equation could not be determined.

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