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

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


Simplifying
F(x) = (2x2 + 3x + -2)(x + -3)

Multiply F * x
xF = (2x2 + 3x + -2)(x + -3)

Reorder the terms:
xF = (-2 + 3x + 2x2)(x + -3)

Reorder the terms:
xF = (-2 + 3x + 2x2)(-3 + x)

Multiply (-2 + 3x + 2x2) * (-3 + x)
xF = (-2(-3 + x) + 3x * (-3 + x) + 2x2 * (-3 + x))
xF = ((-3 * -2 + x * -2) + 3x * (-3 + x) + 2x2 * (-3 + x))
xF = ((6 + -2x) + 3x * (-3 + x) + 2x2 * (-3 + x))
xF = (6 + -2x + (-3 * 3x + x * 3x) + 2x2 * (-3 + x))
xF = (6 + -2x + (-9x + 3x2) + 2x2 * (-3 + x))
xF = (6 + -2x + -9x + 3x2 + (-3 * 2x2 + x * 2x2))
xF = (6 + -2x + -9x + 3x2 + (-6x2 + 2x3))

Combine like terms: -2x + -9x = -11x
xF = (6 + -11x + 3x2 + -6x2 + 2x3)

Combine like terms: 3x2 + -6x2 = -3x2
xF = (6 + -11x + -3x2 + 2x3)

Solving
xF = 6 + -11x + -3x2 + 2x3

Solving for variable 'x'.

Reorder the terms:
-6 + 11x + xF + 3x2 + -2x3 = 6 + -11x + -3x2 + 2x3 + -6 + 11x + 3x2 + -2x3

Reorder the terms:
-6 + 11x + xF + 3x2 + -2x3 = 6 + -6 + -11x + 11x + -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: 6 + -6 = 0
-6 + 11x + xF + 3x2 + -2x3 = 0 + -11x + 11x + -3x2 + 3x2 + 2x3 + -2x3
-6 + 11x + xF + 3x2 + -2x3 = -11x + 11x + -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: -11x + 11x = 0
-6 + 11x + xF + 3x2 + -2x3 = 0 + -3x2 + 3x2 + 2x3 + -2x3
-6 + 11x + xF + 3x2 + -2x3 = -3x2 + 3x2 + 2x3 + -2x3

Combine like terms: -3x2 + 3x2 = 0
-6 + 11x + xF + 3x2 + -2x3 = 0 + 2x3 + -2x3
-6 + 11x + xF + 3x2 + -2x3 = 2x3 + -2x3

Combine like terms: 2x3 + -2x3 = 0
-6 + 11x + xF + 3x2 + -2x3 = 0

The solution to this equation could not be determined.

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