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Simplifying x4 + -50z2 + 49 = 0 Reorder the terms: 49 + x4 + -50z2 = 0 Solving 49 + x4 + -50z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + x4 + -49 + -50z2 = 0 + -49 Reorder the terms: 49 + -49 + x4 + -50z2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x4 + -50z2 = 0 + -49 x4 + -50z2 = 0 + -49 Combine like terms: 0 + -49 = -49 x4 + -50z2 = -49 Add '50z2' to each side of the equation. x4 + -50z2 + 50z2 = -49 + 50z2 Combine like terms: -50z2 + 50z2 = 0 x4 + 0 = -49 + 50z2 x4 = -49 + 50z2 Simplifying x4 = -49 + 50z2 Reorder the terms: 49 + x4 + -50z2 = -49 + 50z2 + 49 + -50z2 Reorder the terms: 49 + x4 + -50z2 = -49 + 49 + 50z2 + -50z2 Combine like terms: -49 + 49 = 0 49 + x4 + -50z2 = 0 + 50z2 + -50z2 49 + x4 + -50z2 = 50z2 + -50z2 Combine like terms: 50z2 + -50z2 = 0 49 + x4 + -50z2 = 0 Factor a trinomial. (x2 + -1z)(x2 + 50z) = 0Subproblem 1
Set the factor '(x2 + -1z)' equal to zero and attempt to solve: Simplifying x2 + -1z = 0 Solving x2 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add 'z' to each side of the equation. x2 + -1z + z = 0 + z Combine like terms: -1z + z = 0 x2 + 0 = 0 + z x2 = 0 + z Remove the zero: x2 = z Simplifying x2 = z 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 '(x2 + 50z)' equal to zero and attempt to solve: Simplifying x2 + 50z = 0 Solving x2 + 50z = 0 Move all terms containing x to the left, all other terms to the right. Add '-50z' to each side of the equation. x2 + 50z + -50z = 0 + -50z Combine like terms: 50z + -50z = 0 x2 + 0 = 0 + -50z x2 = 0 + -50z Remove the zero: x2 = -50z Simplifying x2 = -50z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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