F=(x^2-5x-3)-(-4x^2+5x-10)-(7x^2-6x-8)

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Solution for F=(x^2-5x-3)-(-4x^2+5x-10)-(7x^2-6x-8) equation: 


Simplifying
F = (x2 + -5x + -3) + -1(-4x2 + 5x + -10) + -1(7x2 + -6x + -8)

Reorder the terms:
F = (-3 + -5x + x2) + -1(-4x2 + 5x + -10) + -1(7x2 + -6x + -8)

Remove parenthesis around (-3 + -5x + x2)
F = -3 + -5x + x2 + -1(-4x2 + 5x + -10) + -1(7x2 + -6x + -8)

Reorder the terms:
F = -3 + -5x + x2 + -1(-10 + 5x + -4x2) + -1(7x2 + -6x + -8)
F = -3 + -5x + x2 + (-10 * -1 + 5x * -1 + -4x2 * -1) + -1(7x2 + -6x + -8)
F = -3 + -5x + x2 + (10 + -5x + 4x2) + -1(7x2 + -6x + -8)

Reorder the terms:
F = -3 + -5x + x2 + 10 + -5x + 4x2 + -1(-8 + -6x + 7x2)
F = -3 + -5x + x2 + 10 + -5x + 4x2 + (-8 * -1 + -6x * -1 + 7x2 * -1)
F = -3 + -5x + x2 + 10 + -5x + 4x2 + (8 + 6x + -7x2)

Reorder the terms:
F = -3 + 10 + 8 + -5x + -5x + 6x + x2 + 4x2 + -7x2

Combine like terms: -3 + 10 = 7
F = 7 + 8 + -5x + -5x + 6x + x2 + 4x2 + -7x2

Combine like terms: 7 + 8 = 15
F = 15 + -5x + -5x + 6x + x2 + 4x2 + -7x2

Combine like terms: -5x + -5x = -10x
F = 15 + -10x + 6x + x2 + 4x2 + -7x2

Combine like terms: -10x + 6x = -4x
F = 15 + -4x + x2 + 4x2 + -7x2

Combine like terms: x2 + 4x2 = 5x2
F = 15 + -4x + 5x2 + -7x2

Combine like terms: 5x2 + -7x2 = -2x2
F = 15 + -4x + -2x2

Solving
F = 15 + -4x + -2x2

Solving for variable 'F'.

Move all terms containing F to the left, all other terms to the right.

Simplifying
F = 15 + -4x + -2x2

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