(fx^2*4-6)+(2x^2+3+15)-(6x^2-17)=

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Solution for (fx^2*4-6)+(2x^2+3+15)-(6x^2-17)= equation:


Simplifying
(fx2 * 4 + -6) + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Reorder the terms for easier multiplication:
(4fx2 + -6) + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Reorder the terms:
(-6 + 4fx2) + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Remove parenthesis around (-6 + 4fx2)
-6 + 4fx2 + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Reorder the terms:
-6 + 4fx2 + (3 + 15 + 2x2) + -1(6x2 + -17) = 0

Combine like terms: 3 + 15 = 18
-6 + 4fx2 + (18 + 2x2) + -1(6x2 + -17) = 0

Remove parenthesis around (18 + 2x2)
-6 + 4fx2 + 18 + 2x2 + -1(6x2 + -17) = 0

Reorder the terms:
-6 + 4fx2 + 18 + 2x2 + -1(-17 + 6x2) = 0
-6 + 4fx2 + 18 + 2x2 + (-17 * -1 + 6x2 * -1) = 0
-6 + 4fx2 + 18 + 2x2 + (17 + -6x2) = 0

Reorder the terms:
-6 + 18 + 17 + 4fx2 + 2x2 + -6x2 = 0

Combine like terms: -6 + 18 = 12
12 + 17 + 4fx2 + 2x2 + -6x2 = 0

Combine like terms: 12 + 17 = 29
29 + 4fx2 + 2x2 + -6x2 = 0

Combine like terms: 2x2 + -6x2 = -4x2
29 + 4fx2 + -4x2 = 0

Solving
29 + 4fx2 + -4x2 = 0

Solving for variable 'f'.

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

Add '-29' to each side of the equation.
29 + 4fx2 + -29 + -4x2 = 0 + -29

Reorder the terms:
29 + -29 + 4fx2 + -4x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4fx2 + -4x2 = 0 + -29
4fx2 + -4x2 = 0 + -29

Combine like terms: 0 + -29 = -29
4fx2 + -4x2 = -29

Add '4x2' to each side of the equation.
4fx2 + -4x2 + 4x2 = -29 + 4x2

Combine like terms: -4x2 + 4x2 = 0
4fx2 + 0 = -29 + 4x2
4fx2 = -29 + 4x2

Divide each side by '4x2'.
f = -7.25x-2 + 1

Simplifying
f = -7.25x-2 + 1

Reorder the terms:
f = 1 + -7.25x-2

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