F(x)=a(x+3)(x-4)

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Solution for F(x)=a(x+3)(x-4) equation:


Simplifying
F(x) = a(x + 3)(x + -4)

Multiply F * x
xF = a(x + 3)(x + -4)

Reorder the terms:
xF = a(3 + x)(x + -4)

Reorder the terms:
xF = a(3 + x)(-4 + x)

Multiply (3 + x) * (-4 + x)
xF = a(3(-4 + x) + x(-4 + x))
xF = a((-4 * 3 + x * 3) + x(-4 + x))
xF = a((-12 + 3x) + x(-4 + x))
xF = a(-12 + 3x + (-4 * x + x * x))
xF = a(-12 + 3x + (-4x + x2))

Combine like terms: 3x + -4x = -1x
xF = a(-12 + -1x + x2)
xF = (-12 * a + -1x * a + x2 * a)
xF = (-12a + -1ax + ax2)

Solving
xF = -12a + -1ax + ax2

Solving for variable 'x'.

Reorder the terms:
12a + ax + -1ax2 + xF = -12a + -1ax + ax2 + 12a + ax + -1ax2

Reorder the terms:
12a + ax + -1ax2 + xF = -12a + 12a + -1ax + ax + ax2 + -1ax2

Combine like terms: -12a + 12a = 0
12a + ax + -1ax2 + xF = 0 + -1ax + ax + ax2 + -1ax2
12a + ax + -1ax2 + xF = -1ax + ax + ax2 + -1ax2

Combine like terms: -1ax + ax = 0
12a + ax + -1ax2 + xF = 0 + ax2 + -1ax2
12a + ax + -1ax2 + xF = ax2 + -1ax2

Combine like terms: ax2 + -1ax2 = 0
12a + ax + -1ax2 + xF = 0

The solution to this equation could not be determined.

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