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Simplifying
9x2 + -1(y + 4x)(y + -4x) = 0
Reorder the terms:
9x2 + -1(4x + y)(y + -4x) = 0
Reorder the terms:
9x2 + -1(4x + y)(-4x + y) = 0
Multiply (4x + y) * (-4x + y)
9x2 + -1(4x * (-4x + y) + y(-4x + y)) = 0
9x2 + -1((-4x * 4x + y * 4x) + y(-4x + y)) = 0
Reorder the terms:
9x2 + -1((4xy + -16x2) + y(-4x + y)) = 0
9x2 + -1((4xy + -16x2) + y(-4x + y)) = 0
9x2 + -1(4xy + -16x2 + (-4x * y + y * y)) = 0
9x2 + -1(4xy + -16x2 + (-4xy + y2)) = 0
Reorder the terms:
9x2 + -1(4xy + -4xy + -16x2 + y2) = 0
Combine like terms: 4xy + -4xy = 0
9x2 + -1(0 + -16x2 + y2) = 0
9x2 + -1(-16x2 + y2) = 0
9x2 + (-16x2 * -1 + y2 * -1) = 0
9x2 + (16x2 + -1y2) = 0
Combine like terms: 9x2 + 16x2 = 25x2
25x2 + -1y2 = 0
Solving
25x2 + -1y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y2' to each side of the equation.
25x2 + -1y2 + y2 = 0 + y2
Combine like terms: -1y2 + y2 = 0
25x2 + 0 = 0 + y2
25x2 = 0 + y2
Remove the zero:
25x2 = y2
Divide each side by '25'.
x2 = 0.04y2
Simplifying
x2 = 0.04y2
Take the square root of each side:
x = {-0.2y, 0.2y}
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