3(-4x^2+10y^2)+10(4y^2-x^2)=

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Solution for 3(-4x^2+10y^2)+10(4y^2-x^2)= equation: 


Simplifying
3(-4x2 + 10y2) + 10(4y2 + -1x2) = 0
(-4x2 * 3 + 10y2 * 3) + 10(4y2 + -1x2) = 0
(-12x2 + 30y2) + 10(4y2 + -1x2) = 0

Reorder the terms:
-12x2 + 30y2 + 10(-1x2 + 4y2) = 0
-12x2 + 30y2 + (-1x2 * 10 + 4y2 * 10) = 0
-12x2 + 30y2 + (-10x2 + 40y2) = 0

Reorder the terms:
-12x2 + -10x2 + 30y2 + 40y2 = 0

Combine like terms: -12x2 + -10x2 = -22x2
-22x2 + 30y2 + 40y2 = 0

Combine like terms: 30y2 + 40y2 = 70y2
-22x2 + 70y2 = 0

Solving
-22x2 + 70y2 = 0

Solving for variable 'x'.

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

Add '-70y2' to each side of the equation.
-22x2 + 70y2 + -70y2 = 0 + -70y2

Combine like terms: 70y2 + -70y2 = 0
-22x2 + 0 = 0 + -70y2
-22x2 = 0 + -70y2
Remove the zero:
-22x2 = -70y2

Divide each side by '-22'.
x2 = 3.181818182y2

Simplifying
x2 = 3.181818182y2

Take the square root of each side:
x = {-1.78376517y, 1.78376517y}

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