5-3(1-x)(3x-1)=9(1+x^2)

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Solution for 5-3(1-x)(3x-1)=9(1+x^2) equation:


Simplifying
5 + -3(1 + -1x)(3x + -1) = 9(1 + x2)

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

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

Combine like terms: 3x + 1x = 4x
5 + -3(-1 + 4x + -3x2) = 9(1 + x2)
5 + (-1 * -3 + 4x * -3 + -3x2 * -3) = 9(1 + x2)
5 + (3 + -12x + 9x2) = 9(1 + x2)

Combine like terms: 5 + 3 = 8
8 + -12x + 9x2 = 9(1 + x2)
8 + -12x + 9x2 = (1 * 9 + x2 * 9)
8 + -12x + 9x2 = (9 + 9x2)

Add '-9x2' to each side of the equation.
8 + -12x + 9x2 + -9x2 = 9 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
8 + -12x + 0 = 9 + 9x2 + -9x2
8 + -12x = 9 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
8 + -12x = 9 + 0
8 + -12x = 9

Solving
8 + -12x = 9

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -12x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + -12x = 9 + -8
-12x = 9 + -8

Combine like terms: 9 + -8 = 1
-12x = 1

Divide each side by '-12'.
x = -0.08333333333

Simplifying
x = -0.08333333333

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