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Simplifying rad(4x + -3) = rad(6x + -1) Reorder the terms: adr(-3 + 4x) = rad(6x + -1) (-3 * adr + 4x * adr) = rad(6x + -1) (-3adr + 4adrx) = rad(6x + -1) Reorder the terms: -3adr + 4adrx = adr(-1 + 6x) -3adr + 4adrx = (-1 * adr + 6x * adr) -3adr + 4adrx = (-1adr + 6adrx) Solving -3adr + 4adrx = -1adr + 6adrx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'adr' to each side of the equation. -3adr + adr + 4adrx = -1adr + adr + 6adrx Combine like terms: -3adr + adr = -2adr -2adr + 4adrx = -1adr + adr + 6adrx Combine like terms: -1adr + adr = 0 -2adr + 4adrx = 0 + 6adrx -2adr + 4adrx = 6adrx Add '-6adrx' to each side of the equation. -2adr + 4adrx + -6adrx = 6adrx + -6adrx Combine like terms: 4adrx + -6adrx = -2adrx -2adr + -2adrx = 6adrx + -6adrx Combine like terms: 6adrx + -6adrx = 0 -2adr + -2adrx = 0 Factor out the Greatest Common Factor (GCF), '-2adr'. -2adr(1 + 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 '(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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