F(x)=0.5*(x+2)*(x-7)

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Solution for F(x)=0.5*(x+2)*(x-7) equation:


Simplifying
F(x) = 0.5(x + 2)(x + -7)

Multiply F * x
xF = 0.5(x + 2)(x + -7)

Reorder the terms:
xF = 0.5(2 + x)(x + -7)

Reorder the terms:
xF = 0.5(2 + x)(-7 + x)

Multiply (2 + x) * (-7 + x)
xF = 0.5(2(-7 + x) + x(-7 + x))
xF = 0.5((-7 * 2 + x * 2) + x(-7 + x))
xF = 0.5((-14 + 2x) + x(-7 + x))
xF = 0.5(-14 + 2x + (-7 * x + x * x))
xF = 0.5(-14 + 2x + (-7x + x2))

Combine like terms: 2x + -7x = -5x
xF = 0.5(-14 + -5x + x2)
xF = (-14 * 0.5 + -5x * 0.5 + x2 * 0.5)
xF = (-7 + -2.5x + 0.5x2)

Solving
xF = -7 + -2.5x + 0.5x2

Solving for variable 'x'.

Reorder the terms:
7 + 2.5x + xF + -0.5x2 = -7 + -2.5x + 0.5x2 + 7 + 2.5x + -0.5x2

Reorder the terms:
7 + 2.5x + xF + -0.5x2 = -7 + 7 + -2.5x + 2.5x + 0.5x2 + -0.5x2

Combine like terms: -7 + 7 = 0
7 + 2.5x + xF + -0.5x2 = 0 + -2.5x + 2.5x + 0.5x2 + -0.5x2
7 + 2.5x + xF + -0.5x2 = -2.5x + 2.5x + 0.5x2 + -0.5x2

Combine like terms: -2.5x + 2.5x = 0.0
7 + 2.5x + xF + -0.5x2 = 0.0 + 0.5x2 + -0.5x2
7 + 2.5x + xF + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
7 + 2.5x + xF + -0.5x2 = 0.0

The solution to this equation could not be determined.

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