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

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


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

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

Multiply 4 * 4
(16x2 + -6) + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Reorder the terms:
(-6 + 16x2) + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Remove parenthesis around (-6 + 16x2)
-6 + 16x2 + (2x2 + 3 + 15) + -1(6x2 + -17) = 0

Reorder the terms:
-6 + 16x2 + (3 + 15 + 2x2) + -1(6x2 + -17) = 0

Combine like terms: 3 + 15 = 18
-6 + 16x2 + (18 + 2x2) + -1(6x2 + -17) = 0

Remove parenthesis around (18 + 2x2)
-6 + 16x2 + 18 + 2x2 + -1(6x2 + -17) = 0

Reorder the terms:
-6 + 16x2 + 18 + 2x2 + -1(-17 + 6x2) = 0
-6 + 16x2 + 18 + 2x2 + (-17 * -1 + 6x2 * -1) = 0
-6 + 16x2 + 18 + 2x2 + (17 + -6x2) = 0

Reorder the terms:
-6 + 18 + 17 + 16x2 + 2x2 + -6x2 = 0

Combine like terms: -6 + 18 = 12
12 + 17 + 16x2 + 2x2 + -6x2 = 0

Combine like terms: 12 + 17 = 29
29 + 16x2 + 2x2 + -6x2 = 0

Combine like terms: 16x2 + 2x2 = 18x2
29 + 18x2 + -6x2 = 0

Combine like terms: 18x2 + -6x2 = 12x2
29 + 12x2 = 0

Solving
29 + 12x2 = 0

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 12x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 12x2 = 0 + -29
12x2 = 0 + -29

Combine like terms: 0 + -29 = -29
12x2 = -29

Divide each side by '12'.
x2 = -2.416666667

Simplifying
x2 = -2.416666667

Reorder the terms:
2.416666667 + x2 = -2.416666667 + 2.416666667

Combine like terms: -2.416666667 + 2.416666667 = 0.000000000
2.416666667 + x2 = 0.000000000

The solution to this equation could not be determined.

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