F(x)=(2x+9)(3x-4)

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Solution for F(x)=(2x+9)(3x-4) equation: 


Simplifying
F(x) = (2x + 9)(3x + -4)

Multiply F * x
xF = (2x + 9)(3x + -4)

Reorder the terms:
xF = (9 + 2x)(3x + -4)

Reorder the terms:
xF = (9 + 2x)(-4 + 3x)

Multiply (9 + 2x) * (-4 + 3x)
xF = (9(-4 + 3x) + 2x * (-4 + 3x))
xF = ((-4 * 9 + 3x * 9) + 2x * (-4 + 3x))
xF = ((-36 + 27x) + 2x * (-4 + 3x))
xF = (-36 + 27x + (-4 * 2x + 3x * 2x))
xF = (-36 + 27x + (-8x + 6x2))

Combine like terms: 27x + -8x = 19x
xF = (-36 + 19x + 6x2)

Solving
xF = -36 + 19x + 6x2

Solving for variable 'x'.

Reorder the terms:
36 + -19x + xF + -6x2 = -36 + 19x + 6x2 + 36 + -19x + -6x2

Reorder the terms:
36 + -19x + xF + -6x2 = -36 + 36 + 19x + -19x + 6x2 + -6x2

Combine like terms: -36 + 36 = 0
36 + -19x + xF + -6x2 = 0 + 19x + -19x + 6x2 + -6x2
36 + -19x + xF + -6x2 = 19x + -19x + 6x2 + -6x2

Combine like terms: 19x + -19x = 0
36 + -19x + xF + -6x2 = 0 + 6x2 + -6x2
36 + -19x + xF + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
36 + -19x + xF + -6x2 = 0

The solution to this equation could not be determined.

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