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Simplifying 0 = a(x + -6)(x + -1b) Reorder the terms: 0 = a(-6 + x)(x + -1b) Reorder the terms: 0 = a(-6 + x)(-1b + x) Multiply (-6 + x) * (-1b + x) 0 = a(-6(-1b + x) + x(-1b + x)) 0 = a((-1b * -6 + x * -6) + x(-1b + x)) 0 = a((6b + -6x) + x(-1b + x)) 0 = a(6b + -6x + (-1b * x + x * x)) 0 = a(6b + -6x + (-1bx + x2)) Reorder the terms: 0 = a(6b + -1bx + -6x + x2) 0 = a(6b + -1bx + -6x + x2) 0 = (6b * a + -1bx * a + -6x * a + x2 * a) 0 = (6ab + -1abx + -6ax + ax2) Solving 0 = 6ab + -1abx + -6ax + ax2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6ab' to each side of the equation. 0 + -6ab = 6ab + -1abx + -6ax + -6ab + ax2 Remove the zero: -6ab = 6ab + -1abx + -6ax + -6ab + ax2 Reorder the terms: -6ab = 6ab + -6ab + -1abx + -6ax + ax2 Combine like terms: 6ab + -6ab = 0 -6ab = 0 + -1abx + -6ax + ax2 -6ab = -1abx + -6ax + ax2 Add 'abx' to each side of the equation. -6ab + abx = -1abx + -6ax + abx + ax2 Reorder the terms: -6ab + abx = -1abx + abx + -6ax + ax2 Combine like terms: -1abx + abx = 0 -6ab + abx = 0 + -6ax + ax2 -6ab + abx = -6ax + ax2 Add '6ax' to each side of the equation. -6ab + abx + 6ax = -6ax + 6ax + ax2 Combine like terms: -6ax + 6ax = 0 -6ab + abx + 6ax = 0 + ax2 -6ab + abx + 6ax = ax2 Add '-1ax2' to each side of the equation. -6ab + abx + 6ax + -1ax2 = ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 -6ab + abx + 6ax + -1ax2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-6b + bx + 6x + -1x2) = 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 '(-6b + bx + 6x + -1x2)' equal to zero and attempt to solve: Simplifying -6b + bx + 6x + -1x2 = 0 Solving -6b + bx + 6x + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. -6b + bx + 6x + 6b + -1x2 = 0 + 6b Reorder the terms: -6b + 6b + bx + 6x + -1x2 = 0 + 6b Combine like terms: -6b + 6b = 0 0 + bx + 6x + -1x2 = 0 + 6b bx + 6x + -1x2 = 0 + 6b Remove the zero: bx + 6x + -1x2 = 6b Add '-1bx' to each side of the equation. bx + 6x + -1bx + -1x2 = 6b + -1bx Reorder the terms: bx + -1bx + 6x + -1x2 = 6b + -1bx Combine like terms: bx + -1bx = 0 0 + 6x + -1x2 = 6b + -1bx 6x + -1x2 = 6b + -1bx Add '-6x' to each side of the equation. 6x + -6x + -1x2 = 6b + -1bx + -6x Combine like terms: 6x + -6x = 0 0 + -1x2 = 6b + -1bx + -6x -1x2 = 6b + -1bx + -6x Add 'x2' to each side of the equation. -1x2 + x2 = 6b + -1bx + -6x + x2 Combine like terms: -1x2 + x2 = 0 0 = 6b + -1bx + -6x + x2 Simplifying 0 = 6b + -1bx + -6x + x2 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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