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Simplifying -3a(x + 3) + 6b(x + 3) = 0 Reorder the terms: -3a(3 + x) + 6b(x + 3) = 0 (3 * -3a + x * -3a) + 6b(x + 3) = 0 (-9a + -3ax) + 6b(x + 3) = 0 Reorder the terms: -9a + -3ax + 6b(3 + x) = 0 -9a + -3ax + (3 * 6b + x * 6b) = 0 -9a + -3ax + (18b + 6bx) = 0 Solving -9a + -3ax + 18b + 6bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18b' to each side of the equation. -9a + -3ax + 18b + -18b + 6bx = 0 + -18b Combine like terms: 18b + -18b = 0 -9a + -3ax + 0 + 6bx = 0 + -18b -9a + -3ax + 6bx = 0 + -18b Remove the zero: -9a + -3ax + 6bx = -18b Add '-6bx' to each side of the equation. -9a + -3ax + 6bx + -6bx = -18b + -6bx Combine like terms: 6bx + -6bx = 0 -9a + -3ax + 0 = -18b + -6bx -9a + -3ax = -18b + -6bx Reorder the terms: -9a + -3ax + 18b + 6bx = -18b + 18b + -6bx + 6bx Combine like terms: -18b + 18b = 0 -9a + -3ax + 18b + 6bx = 0 + -6bx + 6bx -9a + -3ax + 18b + 6bx = -6bx + 6bx Combine like terms: -6bx + 6bx = 0 -9a + -3ax + 18b + 6bx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3a + -1ax + 6b + 2bx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3a + -1ax + 6b + 2bx)' equal to zero and attempt to solve: Simplifying -3a + -1ax + 6b + 2bx = 0 Solving -3a + -1ax + 6b + 2bx = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -3a + -1ax + 6b + -6b + 2bx = 0 + -6b Combine like terms: 6b + -6b = 0 -3a + -1ax + 0 + 2bx = 0 + -6b -3a + -1ax + 2bx = 0 + -6b Remove the zero: -3a + -1ax + 2bx = -6b Add '-2bx' to each side of the equation. -3a + -1ax + 2bx + -2bx = -6b + -2bx Combine like terms: 2bx + -2bx = 0 -3a + -1ax + 0 = -6b + -2bx -3a + -1ax = -6b + -2bx 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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