F(x)=5(x-2)(x-3)

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Solution for F(x)=5(x-2)(x-3) equation: 


Simplifying
F(x) = 5(x + -2)(x + -3)

Multiply F * x
xF = 5(x + -2)(x + -3)

Reorder the terms:
xF = 5(-2 + x)(x + -3)

Reorder the terms:
xF = 5(-2 + x)(-3 + x)

Multiply (-2 + x) * (-3 + x)
xF = 5(-2(-3 + x) + x(-3 + x))
xF = 5((-3 * -2 + x * -2) + x(-3 + x))
xF = 5((6 + -2x) + x(-3 + x))
xF = 5(6 + -2x + (-3 * x + x * x))
xF = 5(6 + -2x + (-3x + x2))

Combine like terms: -2x + -3x = -5x
xF = 5(6 + -5x + x2)
xF = (6 * 5 + -5x * 5 + x2 * 5)
xF = (30 + -25x + 5x2)

Solving
xF = 30 + -25x + 5x2

Solving for variable 'x'.

Reorder the terms:
-30 + 25x + xF + -5x2 = 30 + -25x + 5x2 + -30 + 25x + -5x2

Reorder the terms:
-30 + 25x + xF + -5x2 = 30 + -30 + -25x + 25x + 5x2 + -5x2

Combine like terms: 30 + -30 = 0
-30 + 25x + xF + -5x2 = 0 + -25x + 25x + 5x2 + -5x2
-30 + 25x + xF + -5x2 = -25x + 25x + 5x2 + -5x2

Combine like terms: -25x + 25x = 0
-30 + 25x + xF + -5x2 = 0 + 5x2 + -5x2
-30 + 25x + xF + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-30 + 25x + xF + -5x2 = 0

The solution to this equation could not be determined.

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