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Simplifying a = (7x2 * y)(6y2 * z)(-4az) Multiply x2 * y a = (7x2y)(6y2 * z)(-4az) Remove parenthesis around (7x2y) a = 7x2y(6y2 * z)(-4az) Multiply y2 * z a = 7x2y(6y2z)(-4az) Remove parenthesis around (6y2z) a = 7x2y * 6y2z(-4az) Remove parenthesis around (-4az) a = 7x2y * 6y2z * -4az Reorder the terms for easier multiplication: a = 7 * 6 * -4x2y * y2z * az Multiply 7 * 6 a = 42 * -4x2y * y2z * az Multiply 42 * -4 a = -168x2y * y2z * az Multiply x2y * y2z a = -168x2y3z * az Multiply x2y3z * az a = -168ax2y3z2 Solving a = -168ax2y3z2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '168ax2y3z2' to each side of the equation. a + 168ax2y3z2 = -168ax2y3z2 + 168ax2y3z2 Combine like terms: -168ax2y3z2 + 168ax2y3z2 = 0 a + 168ax2y3z2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(1 + 168x2y3z2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + 168x2y3z2)' equal to zero and attempt to solve: Simplifying 1 + 168x2y3z2 = 0 Solving 1 + 168x2y3z2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 168x2y3z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 168x2y3z2 = 0 + -1 168x2y3z2 = 0 + -1 Combine like terms: 0 + -1 = -1 168x2y3z2 = -1 Add '-168x2y3z2' to each side of the equation. 168x2y3z2 + -168x2y3z2 = -1 + -168x2y3z2 Combine like terms: 168x2y3z2 + -168x2y3z2 = 0 0 = -1 + -168x2y3z2 Simplifying 0 = -1 + -168x2y3z2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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