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Simplifying -12k(x + -12) = -9(1 + 7x) Reorder the terms: -12k(-12 + x) = -9(1 + 7x) (-12 * -12k + x * -12k) = -9(1 + 7x) (144k + -12kx) = -9(1 + 7x) 144k + -12kx = (1 * -9 + 7x * -9) 144k + -12kx = (-9 + -63x) Solving 144k + -12kx = -9 + -63x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Reorder the terms: 9 + 144k + -12kx + 63x = -9 + -63x + 9 + 63x Reorder the terms: 9 + 144k + -12kx + 63x = -9 + 9 + -63x + 63x Combine like terms: -9 + 9 = 0 9 + 144k + -12kx + 63x = 0 + -63x + 63x 9 + 144k + -12kx + 63x = -63x + 63x Combine like terms: -63x + 63x = 0 9 + 144k + -12kx + 63x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 48k + -4kx + 21x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 48k + -4kx + 21x)' equal to zero and attempt to solve: Simplifying 3 + 48k + -4kx + 21x = 0 Solving 3 + 48k + -4kx + 21x = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 48k + -4kx + -3 + 21x = 0 + -3 Reorder the terms: 3 + -3 + 48k + -4kx + 21x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 48k + -4kx + 21x = 0 + -3 48k + -4kx + 21x = 0 + -3 Combine like terms: 0 + -3 = -3 48k + -4kx + 21x = -3 Add '-21x' to each side of the equation. 48k + -4kx + 21x + -21x = -3 + -21x Combine like terms: 21x + -21x = 0 48k + -4kx + 0 = -3 + -21x 48k + -4kx = -3 + -21x 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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