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Simplifying (3t + -15)(4r + 22) = 0 Reorder the terms: (-15 + 3t)(4r + 22) = 0 Reorder the terms: (-15 + 3t)(22 + 4r) = 0 Multiply (-15 + 3t) * (22 + 4r) (-15(22 + 4r) + 3t * (22 + 4r)) = 0 ((22 * -15 + 4r * -15) + 3t * (22 + 4r)) = 0 ((-330 + -60r) + 3t * (22 + 4r)) = 0 (-330 + -60r + (22 * 3t + 4r * 3t)) = 0 Reorder the terms: (-330 + -60r + (12rt + 66t)) = 0 (-330 + -60r + (12rt + 66t)) = 0 (-330 + -60r + 12rt + 66t) = 0 Solving -330 + -60r + 12rt + 66t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '330' to each side of the equation. -330 + -60r + 12rt + 330 + 66t = 0 + 330 Reorder the terms: -330 + 330 + -60r + 12rt + 66t = 0 + 330 Combine like terms: -330 + 330 = 0 0 + -60r + 12rt + 66t = 0 + 330 -60r + 12rt + 66t = 0 + 330 Combine like terms: 0 + 330 = 330 -60r + 12rt + 66t = 330 Add '-66t' to each side of the equation. -60r + 12rt + 66t + -66t = 330 + -66t Combine like terms: 66t + -66t = 0 -60r + 12rt + 0 = 330 + -66t -60r + 12rt = 330 + -66t Reorder the terms: -330 + -60r + 12rt + 66t = 330 + -66t + -330 + 66t Reorder the terms: -330 + -60r + 12rt + 66t = 330 + -330 + -66t + 66t Combine like terms: 330 + -330 = 0 -330 + -60r + 12rt + 66t = 0 + -66t + 66t -330 + -60r + 12rt + 66t = -66t + 66t Combine like terms: -66t + 66t = 0 -330 + -60r + 12rt + 66t = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-55 + -10r + 2rt + 11t) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-55 + -10r + 2rt + 11t)' equal to zero and attempt to solve: Simplifying -55 + -10r + 2rt + 11t = 0 Solving -55 + -10r + 2rt + 11t = 0 Move all terms containing r to the left, all other terms to the right. Add '55' to each side of the equation. -55 + -10r + 2rt + 55 + 11t = 0 + 55 Reorder the terms: -55 + 55 + -10r + 2rt + 11t = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -10r + 2rt + 11t = 0 + 55 -10r + 2rt + 11t = 0 + 55 Combine like terms: 0 + 55 = 55 -10r + 2rt + 11t = 55 Add '-11t' to each side of the equation. -10r + 2rt + 11t + -11t = 55 + -11t Combine like terms: 11t + -11t = 0 -10r + 2rt + 0 = 55 + -11t -10r + 2rt = 55 + -11t 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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