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Simplifying 4x2 = 20x + -25y2 Solving 4x2 = 20x + -25y2 Solving for variable 'x'. Reorder the terms: -20x + 4x2 + 25y2 = 20x + -25y2 + -20x + 25y2 Reorder the terms: -20x + 4x2 + 25y2 = 20x + -20x + -25y2 + 25y2 Combine like terms: 20x + -20x = 0 -20x + 4x2 + 25y2 = 0 + -25y2 + 25y2 -20x + 4x2 + 25y2 = -25y2 + 25y2 Combine like terms: -25y2 + 25y2 = 0 -20x + 4x2 + 25y2 = 0 Factor a trinomial. (2x + -5y)(2x + -5y) = 0Subproblem 1
Set the factor '(2x + -5y)' equal to zero and attempt to solve: Simplifying 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5ySubproblem 2
Set the factor '(2x + -5y)' equal to zero and attempt to solve: Simplifying 2x + -5y = 0 Solving 2x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = 0 + 5y 2x = 0 + 5y Remove the zero: 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5ySolution
x = {2.5y, 2.5y}
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