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Simplifying rad(7x + 1) + -1rad(3x + -18) = rad(2x + 7) Reorder the terms: adr(1 + 7x) + -1rad(3x + -18) = rad(2x + 7) (1 * adr + 7x * adr) + -1rad(3x + -18) = rad(2x + 7) (1adr + 7adrx) + -1rad(3x + -18) = rad(2x + 7) Reorder the terms: 1adr + 7adrx + -1adr(-18 + 3x) = rad(2x + 7) 1adr + 7adrx + (-18 * -1adr + 3x * -1adr) = rad(2x + 7) 1adr + 7adrx + (18adr + -3adrx) = rad(2x + 7) Reorder the terms: 1adr + 18adr + 7adrx + -3adrx = rad(2x + 7) Combine like terms: 1adr + 18adr = 19adr 19adr + 7adrx + -3adrx = rad(2x + 7) Combine like terms: 7adrx + -3adrx = 4adrx 19adr + 4adrx = rad(2x + 7) Reorder the terms: 19adr + 4adrx = adr(7 + 2x) 19adr + 4adrx = (7 * adr + 2x * adr) 19adr + 4adrx = (7adr + 2adrx) Solving 19adr + 4adrx = 7adr + 2adrx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7adr' to each side of the equation. 19adr + -7adr + 4adrx = 7adr + -7adr + 2adrx Combine like terms: 19adr + -7adr = 12adr 12adr + 4adrx = 7adr + -7adr + 2adrx Combine like terms: 7adr + -7adr = 0 12adr + 4adrx = 0 + 2adrx 12adr + 4adrx = 2adrx Add '-2adrx' to each side of the equation. 12adr + 4adrx + -2adrx = 2adrx + -2adrx Combine like terms: 4adrx + -2adrx = 2adrx 12adr + 2adrx = 2adrx + -2adrx Combine like terms: 2adrx + -2adrx = 0 12adr + 2adrx = 0 Factor out the Greatest Common Factor (GCF), '2adr'. 2adr(6 + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'adr' equal to zero and attempt to solve: Simplifying adr = 0 Solving adr = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adr = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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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