3(x^2-4)+7(x-3)forx=6

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Solution for 3(x^2-4)+7(x-3)forx=6 equation: 


Simplifying
3(x2 + -4) + 7(x + -3) * forx = 6

Reorder the terms:
3(-4 + x2) + 7(x + -3) * forx = 6
(-4 * 3 + x2 * 3) + 7(x + -3) * forx = 6
(-12 + 3x2) + 7(x + -3) * forx = 6

Reorder the terms:
-12 + 3x2 + 7(-3 + x) * forx = 6

Reorder the terms for easier multiplication:
-12 + 3x2 + 7forx(-3 + x) = 6
-12 + 3x2 + (-3 * 7forx + x * 7forx) = 6
-12 + 3x2 + (-21forx + 7forx2) = 6

Reorder the terms:
-12 + -21forx + 7forx2 + 3x2 = 6

Solving
-12 + -21forx + 7forx2 + 3x2 = 6

Solving for variable 'f'.

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

Add '12' to each side of the equation.
-12 + -21forx + 7forx2 + 12 + 3x2 = 6 + 12

Reorder the terms:
-12 + 12 + -21forx + 7forx2 + 3x2 = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -21forx + 7forx2 + 3x2 = 6 + 12
-21forx + 7forx2 + 3x2 = 6 + 12

Combine like terms: 6 + 12 = 18
-21forx + 7forx2 + 3x2 = 18

Add '-3x2' to each side of the equation.
-21forx + 7forx2 + 3x2 + -3x2 = 18 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-21forx + 7forx2 + 0 = 18 + -3x2
-21forx + 7forx2 = 18 + -3x2

Reorder the terms:
-18 + -21forx + 7forx2 + 3x2 = 18 + -3x2 + -18 + 3x2

Reorder the terms:
-18 + -21forx + 7forx2 + 3x2 = 18 + -18 + -3x2 + 3x2

Combine like terms: 18 + -18 = 0
-18 + -21forx + 7forx2 + 3x2 = 0 + -3x2 + 3x2
-18 + -21forx + 7forx2 + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-18 + -21forx + 7forx2 + 3x2 = 0

The solution to this equation could not be determined.

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