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Simplifying 7x2y2(-7xz + 7y + 8z5) = 0 (-7xz * 7x2y2 + 7y * 7x2y2 + 8z5 * 7x2y2) = 0 Reorder the terms: (56x2y2z5 + 49x2y3 + -49x3y2z) = 0 (56x2y2z5 + 49x2y3 + -49x3y2z) = 0 Solving 56x2y2z5 + 49x2y3 + -49x3y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y2'. 7x2y2(8z5 + 7y + -7xz) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8z5 + 7y + -7xz)' equal to zero and attempt to solve: Simplifying 8z5 + 7y + -7xz = 0 Reorder the terms: -7xz + 7y + 8z5 = 0 Solving -7xz + 7y + 8z5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -7xz + 7y + -7y + 8z5 = 0 + -7y Combine like terms: 7y + -7y = 0 -7xz + 0 + 8z5 = 0 + -7y -7xz + 8z5 = 0 + -7y Remove the zero: -7xz + 8z5 = -7y Add '-8z5' to each side of the equation. -7xz + 8z5 + -8z5 = -7y + -8z5 Combine like terms: 8z5 + -8z5 = 0 -7xz + 0 = -7y + -8z5 -7xz = -7y + -8z5 Divide each side by '-7z'. x = yz-1 + 1.142857143z4 Simplifying x = yz-1 + 1.142857143z4Solution
x = {yz-1 + 1.142857143z4}
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