F(x)=(5x+7)(8x-2)

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Solution for F(x)=(5x+7)(8x-2) equation: 


Simplifying
F(x) = (5x + 7)(8x + -2)

Multiply F * x
xF = (5x + 7)(8x + -2)

Reorder the terms:
xF = (7 + 5x)(8x + -2)

Reorder the terms:
xF = (7 + 5x)(-2 + 8x)

Multiply (7 + 5x) * (-2 + 8x)
xF = (7(-2 + 8x) + 5x * (-2 + 8x))
xF = ((-2 * 7 + 8x * 7) + 5x * (-2 + 8x))
xF = ((-14 + 56x) + 5x * (-2 + 8x))
xF = (-14 + 56x + (-2 * 5x + 8x * 5x))
xF = (-14 + 56x + (-10x + 40x2))

Combine like terms: 56x + -10x = 46x
xF = (-14 + 46x + 40x2)

Solving
xF = -14 + 46x + 40x2

Solving for variable 'x'.

Reorder the terms:
14 + -46x + xF + -40x2 = -14 + 46x + 40x2 + 14 + -46x + -40x2

Reorder the terms:
14 + -46x + xF + -40x2 = -14 + 14 + 46x + -46x + 40x2 + -40x2

Combine like terms: -14 + 14 = 0
14 + -46x + xF + -40x2 = 0 + 46x + -46x + 40x2 + -40x2
14 + -46x + xF + -40x2 = 46x + -46x + 40x2 + -40x2

Combine like terms: 46x + -46x = 0
14 + -46x + xF + -40x2 = 0 + 40x2 + -40x2
14 + -46x + xF + -40x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
14 + -46x + xF + -40x2 = 0

The solution to this equation could not be determined.

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