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Simplifying (-8a) * x(-3b) = 24ab Remove parenthesis around (-8a) -8a * x(-3b) = 24ab Remove parenthesis around (-3b) -8a * x * -3b = 24ab Reorder the terms for easier multiplication: -8 * -3a * x * b = 24ab Multiply -8 * -3 24a * x * b = 24ab Multiply a * x 24ax * b = 24ab Multiply ax * b 24abx = 24ab Solving 24abx = 24ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24ab' to each side of the equation. -24ab + 24abx = 24ab + -24ab Combine like terms: 24ab + -24ab = 0 -24ab + 24abx = 0 Factor out the Greatest Common Factor (GCF), '24ab'. 24ab(-1 + x) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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