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Simplifying 49x2 + -70xy + 25y2 = 0 Reorder the terms: -70xy + 49x2 + 25y2 = 0 Solving -70xy + 49x2 + 25y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -5y)(7x + -5y) = 0Subproblem 1
Set the factor '(7x + -5y)' equal to zero and attempt to solve: Simplifying 7x + -5y = 0 Solving 7x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 7x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 7x + 0 = 0 + 5y 7x = 0 + 5y Remove the zero: 7x = 5y Divide each side by '7'. x = 0.7142857143y Simplifying x = 0.7142857143ySubproblem 2
Set the factor '(7x + -5y)' equal to zero and attempt to solve: Simplifying 7x + -5y = 0 Solving 7x + -5y = 0 Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 7x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 7x + 0 = 0 + 5y 7x = 0 + 5y Remove the zero: 7x = 5y Divide each side by '7'. x = 0.7142857143y Simplifying x = 0.7142857143ySolution
x = {0.7142857143y, 0.7142857143y}
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