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Simplifying 3abx2 + -12ab + 3bx2 + -12b = 0 Reorder the terms: -12ab + 3abx2 + -12b + 3bx2 = 0 Solving -12ab + 3abx2 + -12b + 3bx2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. -12ab + 3abx2 + -12b + 12b + 3bx2 = 0 + 12b Combine like terms: -12b + 12b = 0 -12ab + 3abx2 + 0 + 3bx2 = 0 + 12b -12ab + 3abx2 + 3bx2 = 0 + 12b Remove the zero: -12ab + 3abx2 + 3bx2 = 12b Add '-3bx2' to each side of the equation. -12ab + 3abx2 + 3bx2 + -3bx2 = 12b + -3bx2 Combine like terms: 3bx2 + -3bx2 = 0 -12ab + 3abx2 + 0 = 12b + -3bx2 -12ab + 3abx2 = 12b + -3bx2 Reorder the terms: -12ab + 3abx2 + -12b + 3bx2 = 12b + -12b + -3bx2 + 3bx2 Combine like terms: 12b + -12b = 0 -12ab + 3abx2 + -12b + 3bx2 = 0 + -3bx2 + 3bx2 -12ab + 3abx2 + -12b + 3bx2 = -3bx2 + 3bx2 Combine like terms: -3bx2 + 3bx2 = 0 -12ab + 3abx2 + -12b + 3bx2 = 0 Factor out the Greatest Common Factor (GCF), '3b'. 3b(-4a + ax2 + -4 + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(-4a + ax2 + -4 + x2)' equal to zero and attempt to solve: Simplifying -4a + ax2 + -4 + x2 = 0 Reorder the terms: -4 + -4a + ax2 + x2 = 0 Solving -4 + -4a + ax2 + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -4a + ax2 + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -4a + ax2 + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4a + ax2 + x2 = 0 + 4 -4a + ax2 + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -4a + ax2 + x2 = 4 Add '-1x2' to each side of the equation. -4a + ax2 + x2 + -1x2 = 4 + -1x2 Combine like terms: x2 + -1x2 = 0 -4a + ax2 + 0 = 4 + -1x2 -4a + ax2 = 4 + -1x2 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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