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Simplifying (-4x4 + -8y5)(-4x4 + -8y5) = 0 Multiply (-4x4 + -8y5) * (-4x4 + -8y5) (-4x4 * (-4x4 + -8y5) + -8y5 * (-4x4 + -8y5)) = 0 ((-4x4 * -4x4 + -8y5 * -4x4) + -8y5 * (-4x4 + -8y5)) = 0 Reorder the terms: ((32x4y5 + 16x8) + -8y5 * (-4x4 + -8y5)) = 0 ((32x4y5 + 16x8) + -8y5 * (-4x4 + -8y5)) = 0 (32x4y5 + 16x8 + (-4x4 * -8y5 + -8y5 * -8y5)) = 0 (32x4y5 + 16x8 + (32x4y5 + 64y10)) = 0 Reorder the terms: (32x4y5 + 32x4y5 + 16x8 + 64y10) = 0 Combine like terms: 32x4y5 + 32x4y5 = 64x4y5 (64x4y5 + 16x8 + 64y10) = 0 Solving 64x4y5 + 16x8 + 64y10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(4x4y5 + x8 + 4y10) = 0 Factor a trinomial. 16((x4 + 2y5)(x4 + 2y5)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(x4 + 2y5)' equal to zero and attempt to solve: Simplifying x4 + 2y5 = 0 Solving x4 + 2y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y5' to each side of the equation. x4 + 2y5 + -2y5 = 0 + -2y5 Combine like terms: 2y5 + -2y5 = 0 x4 + 0 = 0 + -2y5 x4 = 0 + -2y5 Remove the zero: x4 = -2y5 Simplifying x4 = -2y5 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 '(x4 + 2y5)' equal to zero and attempt to solve: Simplifying x4 + 2y5 = 0 Solving x4 + 2y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y5' to each side of the equation. x4 + 2y5 + -2y5 = 0 + -2y5 Combine like terms: 2y5 + -2y5 = 0 x4 + 0 = 0 + -2y5 x4 = 0 + -2y5 Remove the zero: x4 = -2y5 Simplifying x4 = -2y5 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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