6x^2+8y^2-(h+3)6+(-3h+1)8+h-3=0

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Solution for 6x^2+8y^2-(h+3)6+(-3h+1)8+h-3=0 equation: 


Simplifying
6x2 + 8y2 + -1(h + 3) * 6 + (-3h + 1) * 8 + h + -3 = 0

Reorder the terms:
6x2 + 8y2 + -1(3 + h) * 6 + (-3h + 1) * 8 + h + -3 = 0

Reorder the terms for easier multiplication:
6x2 + 8y2 + -1 * 6(3 + h) + (-3h + 1) * 8 + h + -3 = 0

Multiply -1 * 6
6x2 + 8y2 + -6(3 + h) + (-3h + 1) * 8 + h + -3 = 0
6x2 + 8y2 + (3 * -6 + h * -6) + (-3h + 1) * 8 + h + -3 = 0
6x2 + 8y2 + (-18 + -6h) + (-3h + 1) * 8 + h + -3 = 0

Reorder the terms:
6x2 + 8y2 + -18 + -6h + (1 + -3h) * 8 + h + -3 = 0

Reorder the terms for easier multiplication:
6x2 + 8y2 + -18 + -6h + 8(1 + -3h) + h + -3 = 0
6x2 + 8y2 + -18 + -6h + (1 * 8 + -3h * 8) + h + -3 = 0
6x2 + 8y2 + -18 + -6h + (8 + -24h) + h + -3 = 0

Reorder the terms:
-18 + 8 + -3 + -6h + -24h + h + 6x2 + 8y2 = 0

Combine like terms: -18 + 8 = -10
-10 + -3 + -6h + -24h + h + 6x2 + 8y2 = 0

Combine like terms: -10 + -3 = -13
-13 + -6h + -24h + h + 6x2 + 8y2 = 0

Combine like terms: -6h + -24h = -30h
-13 + -30h + h + 6x2 + 8y2 = 0

Combine like terms: -30h + h = -29h
-13 + -29h + 6x2 + 8y2 = 0

Solving
-13 + -29h + 6x2 + 8y2 = 0

Solving for variable 'h'.

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

Add '13' to each side of the equation.
-13 + -29h + 6x2 + 13 + 8y2 = 0 + 13

Reorder the terms:
-13 + 13 + -29h + 6x2 + 8y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -29h + 6x2 + 8y2 = 0 + 13
-29h + 6x2 + 8y2 = 0 + 13

Combine like terms: 0 + 13 = 13
-29h + 6x2 + 8y2 = 13

Add '-6x2' to each side of the equation.
-29h + 6x2 + -6x2 + 8y2 = 13 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-29h + 0 + 8y2 = 13 + -6x2
-29h + 8y2 = 13 + -6x2

Add '-8y2' to each side of the equation.
-29h + 8y2 + -8y2 = 13 + -6x2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
-29h + 0 = 13 + -6x2 + -8y2
-29h = 13 + -6x2 + -8y2

Divide each side by '-29'.
h = -0.4482758621 + 0.2068965517x2 + 0.275862069y2

Simplifying
h = -0.4482758621 + 0.2068965517x2 + 0.275862069y2

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