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Simplifying 16x4 + -9y6 = 0 Solving 16x4 + -9y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9y6' to each side of the equation. 16x4 + -9y6 + 9y6 = 0 + 9y6 Combine like terms: -9y6 + 9y6 = 0 16x4 + 0 = 0 + 9y6 16x4 = 0 + 9y6 Remove the zero: 16x4 = 9y6 Divide each side by '16'. x4 = 0.5625y6 Simplifying x4 = 0.5625y6 Combine like terms: 0.5625y6 + -0.5625y6 = 0.0000 x4 + -0.5625y6 = 0.0000 Factor a difference between two squares. (x2 + 0.75y3)(x2 + -0.75y3) = 0.0000Subproblem 1
Set the factor '(x2 + 0.75y3)' equal to zero and attempt to solve: Simplifying x2 + 0.75y3 = 0 Solving x2 + 0.75y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.75y3' to each side of the equation. x2 + 0.75y3 + -0.75y3 = 0 + -0.75y3 Combine like terms: 0.75y3 + -0.75y3 = 0.00 x2 + 0.00 = 0 + -0.75y3 x2 = 0 + -0.75y3 Remove the zero: x2 = -0.75y3 Simplifying x2 = -0.75y3 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 + -0.75y3)' equal to zero and attempt to solve: Simplifying x2 + -0.75y3 = 0 Solving x2 + -0.75y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.75y3' to each side of the equation. x2 + -0.75y3 + 0.75y3 = 0 + 0.75y3 Combine like terms: -0.75y3 + 0.75y3 = 0.00 x2 + 0.00 = 0 + 0.75y3 x2 = 0 + 0.75y3 Remove the zero: x2 = 0.75y3 Simplifying x2 = 0.75y3 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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