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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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