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Simplifying 16x3y2 + -1(3x2z + -5x3y2) + 6x2z = 0 16x3y2 + (3x2z * -1 + -5x3y2 * -1) + 6x2z = 0 16x3y2 + (-3x2z + 5x3y2) + 6x2z = 0 Reorder the terms: -3x2z + 6x2z + 16x3y2 + 5x3y2 = 0 Combine like terms: -3x2z + 6x2z = 3x2z 3x2z + 16x3y2 + 5x3y2 = 0 Combine like terms: 16x3y2 + 5x3y2 = 21x3y2 3x2z + 21x3y2 = 0 Solving 3x2z + 21x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(z + 7xy2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(z + 7xy2)' equal to zero and attempt to solve: Simplifying z + 7xy2 = 0 Reorder the terms: 7xy2 + z = 0 Solving 7xy2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 7xy2 + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 7xy2 + 0 = 0 + -1z 7xy2 = 0 + -1z Remove the zero: 7xy2 = -1z Divide each side by '7y2'. x = -0.1428571429y-2z Simplifying x = -0.1428571429y-2zSolution
x = {0, -0.1428571429y-2z}
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