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Simplifying (11x + 8)(3t + -9) = 0 Reorder the terms: (8 + 11x)(3t + -9) = 0 Reorder the terms: (8 + 11x)(-9 + 3t) = 0 Multiply (8 + 11x) * (-9 + 3t) (8(-9 + 3t) + 11x * (-9 + 3t)) = 0 ((-9 * 8 + 3t * 8) + 11x * (-9 + 3t)) = 0 ((-72 + 24t) + 11x * (-9 + 3t)) = 0 (-72 + 24t + (-9 * 11x + 3t * 11x)) = 0 Reorder the terms: (-72 + 24t + (33tx + -99x)) = 0 (-72 + 24t + (33tx + -99x)) = 0 (-72 + 24t + 33tx + -99x) = 0 Solving -72 + 24t + 33tx + -99x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 24t + 33tx + 72 + -99x = 0 + 72 Reorder the terms: -72 + 72 + 24t + 33tx + -99x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 24t + 33tx + -99x = 0 + 72 24t + 33tx + -99x = 0 + 72 Combine like terms: 0 + 72 = 72 24t + 33tx + -99x = 72 Add '99x' to each side of the equation. 24t + 33tx + -99x + 99x = 72 + 99x Combine like terms: -99x + 99x = 0 24t + 33tx + 0 = 72 + 99x 24t + 33tx = 72 + 99x Reorder the terms: -72 + 24t + 33tx + -99x = 72 + 99x + -72 + -99x Reorder the terms: -72 + 24t + 33tx + -99x = 72 + -72 + 99x + -99x Combine like terms: 72 + -72 = 0 -72 + 24t + 33tx + -99x = 0 + 99x + -99x -72 + 24t + 33tx + -99x = 99x + -99x Combine like terms: 99x + -99x = 0 -72 + 24t + 33tx + -99x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + 8t + 11tx + -33x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-24 + 8t + 11tx + -33x)' equal to zero and attempt to solve: Simplifying -24 + 8t + 11tx + -33x = 0 Solving -24 + 8t + 11tx + -33x = 0 Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 8t + 11tx + 24 + -33x = 0 + 24 Reorder the terms: -24 + 24 + 8t + 11tx + -33x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8t + 11tx + -33x = 0 + 24 8t + 11tx + -33x = 0 + 24 Combine like terms: 0 + 24 = 24 8t + 11tx + -33x = 24 Add '33x' to each side of the equation. 8t + 11tx + -33x + 33x = 24 + 33x Combine like terms: -33x + 33x = 0 8t + 11tx + 0 = 24 + 33x 8t + 11tx = 24 + 33x 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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