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Simplifying (5x + -4y)(5x + -4y) = 0 Multiply (5x + -4y) * (5x + -4y) (5x * (5x + -4y) + -4y * (5x + -4y)) = 0 ((5x * 5x + -4y * 5x) + -4y * (5x + -4y)) = 0 Reorder the terms: ((-20xy + 25x2) + -4y * (5x + -4y)) = 0 ((-20xy + 25x2) + -4y * (5x + -4y)) = 0 (-20xy + 25x2 + (5x * -4y + -4y * -4y)) = 0 (-20xy + 25x2 + (-20xy + 16y2)) = 0 Reorder the terms: (-20xy + -20xy + 25x2 + 16y2) = 0 Combine like terms: -20xy + -20xy = -40xy (-40xy + 25x2 + 16y2) = 0 Solving -40xy + 25x2 + 16y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -4y)(5x + -4y) = 0Subproblem 1
Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySubproblem 2
Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySolution
x = {0.8y, 0.8y}
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