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Simplifying 100x4 + -169y6 = 0 Solving 100x4 + -169y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '169y6' to each side of the equation. 100x4 + -169y6 + 169y6 = 0 + 169y6 Combine like terms: -169y6 + 169y6 = 0 100x4 + 0 = 0 + 169y6 100x4 = 0 + 169y6 Remove the zero: 100x4 = 169y6 Divide each side by '100'. x4 = 1.69y6 Simplifying x4 = 1.69y6 Combine like terms: 1.69y6 + -1.69y6 = 0.00 x4 + -1.69y6 = 0.00 Factor a difference between two squares. (x2 + 1.3y3)(x2 + -1.3y3) = 0.00Subproblem 1
Set the factor '(x2 + 1.3y3)' equal to zero and attempt to solve: Simplifying x2 + 1.3y3 = 0 Solving x2 + 1.3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.3y3' to each side of the equation. x2 + 1.3y3 + -1.3y3 = 0 + -1.3y3 Combine like terms: 1.3y3 + -1.3y3 = 0.0 x2 + 0.0 = 0 + -1.3y3 x2 = 0 + -1.3y3 Remove the zero: x2 = -1.3y3 Simplifying x2 = -1.3y3 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 + -1.3y3)' equal to zero and attempt to solve: Simplifying x2 + -1.3y3 = 0 Solving x2 + -1.3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.3y3' to each side of the equation. x2 + -1.3y3 + 1.3y3 = 0 + 1.3y3 Combine like terms: -1.3y3 + 1.3y3 = 0.0 x2 + 0.0 = 0 + 1.3y3 x2 = 0 + 1.3y3 Remove the zero: x2 = 1.3y3 Simplifying x2 = 1.3y3 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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