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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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