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Simplifying (4x + 3y)(4x + 3y) = 0 Multiply (4x + 3y) * (4x + 3y) (4x * (4x + 3y) + 3y * (4x + 3y)) = 0 ((4x * 4x + 3y * 4x) + 3y * (4x + 3y)) = 0 Reorder the terms: ((12xy + 16x2) + 3y * (4x + 3y)) = 0 ((12xy + 16x2) + 3y * (4x + 3y)) = 0 (12xy + 16x2 + (4x * 3y + 3y * 3y)) = 0 (12xy + 16x2 + (12xy + 9y2)) = 0 Reorder the terms: (12xy + 12xy + 16x2 + 9y2) = 0 Combine like terms: 12xy + 12xy = 24xy (24xy + 16x2 + 9y2) = 0 Solving 24xy + 16x2 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x + 3y)(4x + 3y) = 0Subproblem 1
Set the factor '(4x + 3y)' equal to zero and attempt to solve: Simplifying 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75ySubproblem 2
Set the factor '(4x + 3y)' equal to zero and attempt to solve: Simplifying 4x + 3y = 0 Solving 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 0 + -3y 4x = 0 + -3y Remove the zero: 4x = -3y Divide each side by '4'. x = -0.75y Simplifying x = -0.75ySolution
x = {-0.75y, -0.75y}
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