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Simplifying (7x + -5yz)(7x + -5yz) = 0 Multiply (7x + -5yz) * (7x + -5yz) (7x * (7x + -5yz) + -5yz * (7x + -5yz)) = 0 ((7x * 7x + -5yz * 7x) + -5yz * (7x + -5yz)) = 0 Reorder the terms: ((-35xyz + 49x2) + -5yz * (7x + -5yz)) = 0 ((-35xyz + 49x2) + -5yz * (7x + -5yz)) = 0 (-35xyz + 49x2 + (7x * -5yz + -5yz * -5yz)) = 0 (-35xyz + 49x2 + (-35xyz + 25y2z2)) = 0 Reorder the terms: (-35xyz + -35xyz + 49x2 + 25y2z2) = 0 Combine like terms: -35xyz + -35xyz = -70xyz (-70xyz + 49x2 + 25y2z2) = 0 Solving -70xyz + 49x2 + 25y2z2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -5yz)(7x + -5yz) = 0Subproblem 1
Set the factor '(7x + -5yz)' equal to zero and attempt to solve: Simplifying 7x + -5yz = 0 Solving 7x + -5yz = 0 Move all terms containing x to the left, all other terms to the right. Add '5yz' to each side of the equation. 7x + -5yz + 5yz = 0 + 5yz Combine like terms: -5yz + 5yz = 0 7x + 0 = 0 + 5yz 7x = 0 + 5yz Remove the zero: 7x = 5yz Divide each side by '7'. x = 0.7142857143yz Simplifying x = 0.7142857143yzSubproblem 2
Set the factor '(7x + -5yz)' equal to zero and attempt to solve: Simplifying 7x + -5yz = 0 Solving 7x + -5yz = 0 Move all terms containing x to the left, all other terms to the right. Add '5yz' to each side of the equation. 7x + -5yz + 5yz = 0 + 5yz Combine like terms: -5yz + 5yz = 0 7x + 0 = 0 + 5yz 7x = 0 + 5yz Remove the zero: 7x = 5yz Divide each side by '7'. x = 0.7142857143yz Simplifying x = 0.7142857143yzSolution
x = {0.7142857143yz, 0.7142857143yz}
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