F(x)=(3x-1)(3-x)+4x^2

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Solution for F(x)=(3x-1)(3-x)+4x^2 equation:


Simplifying
F(x) = (3x + -1)(3 + -1x) + 4x2

Multiply F * x
xF = (3x + -1)(3 + -1x) + 4x2

Reorder the terms:
xF = (-1 + 3x)(3 + -1x) + 4x2

Multiply (-1 + 3x) * (3 + -1x)
xF = (-1(3 + -1x) + 3x * (3 + -1x)) + 4x2
xF = ((3 * -1 + -1x * -1) + 3x * (3 + -1x)) + 4x2
xF = ((-3 + 1x) + 3x * (3 + -1x)) + 4x2
xF = (-3 + 1x + (3 * 3x + -1x * 3x)) + 4x2
xF = (-3 + 1x + (9x + -3x2)) + 4x2

Combine like terms: 1x + 9x = 10x
xF = (-3 + 10x + -3x2) + 4x2

Combine like terms: -3x2 + 4x2 = 1x2
xF = -3 + 10x + 1x2

Solving
xF = -3 + 10x + 1x2

Solving for variable 'x'.

Reorder the terms:
3 + -10x + xF + -1x2 = -3 + 10x + 1x2 + 3 + -10x + -1x2

Reorder the terms:
3 + -10x + xF + -1x2 = -3 + 3 + 10x + -10x + 1x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + -10x + xF + -1x2 = 0 + 10x + -10x + 1x2 + -1x2
3 + -10x + xF + -1x2 = 10x + -10x + 1x2 + -1x2

Combine like terms: 10x + -10x = 0
3 + -10x + xF + -1x2 = 0 + 1x2 + -1x2
3 + -10x + xF + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
3 + -10x + xF + -1x2 = 0

The solution to this equation could not be determined.

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