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Simplifying
(3x + -4y2)(3x + 4y2) = 0
Multiply (3x + -4y2) * (3x + 4y2)
(3x * (3x + 4y2) + -4y2 * (3x + 4y2)) = 0
((3x * 3x + 4y2 * 3x) + -4y2 * (3x + 4y2)) = 0
Reorder the terms:
((12xy2 + 9x2) + -4y2 * (3x + 4y2)) = 0
((12xy2 + 9x2) + -4y2 * (3x + 4y2)) = 0
(12xy2 + 9x2 + (3x * -4y2 + 4y2 * -4y2)) = 0
(12xy2 + 9x2 + (-12xy2 + -16y4)) = 0
Reorder the terms:
(12xy2 + -12xy2 + 9x2 + -16y4) = 0
Combine like terms: 12xy2 + -12xy2 = 0
(0 + 9x2 + -16y4) = 0
(9x2 + -16y4) = 0
Solving
9x2 + -16y4 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16y4' to each side of the equation.
9x2 + -16y4 + 16y4 = 0 + 16y4
Combine like terms: -16y4 + 16y4 = 0
9x2 + 0 = 0 + 16y4
9x2 = 0 + 16y4
Remove the zero:
9x2 = 16y4
Divide each side by '9'.
x2 = 1.777777778y4
Simplifying
x2 = 1.777777778y4
Take the square root of each side:
x = {-1.333333333y2, 1.333333333y2}
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