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Simplifying 288 = (3x2)(X + 2) Remove parenthesis around (3x2) 288 = 3x2(X + 2) Reorder the terms: 288 = 3x2(2 + X) 288 = (2 * 3x2 + X * 3x2) 288 = (6x2 + 3x2X) Solving 288 = 6x2 + 3x2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x2' to each side of the equation. 288 + -6x2 = 6x2 + -6x2 + 3x2X Combine like terms: 6x2 + -6x2 = 0 288 + -6x2 = 0 + 3x2X 288 + -6x2 = 3x2X Add '-3x2X' to each side of the equation. 288 + -6x2 + -3x2X = 3x2X + -3x2X Combine like terms: 3x2X + -3x2X = 0 288 + -6x2 + -3x2X = 0 Add '-288' to each side of the equation. 288 + -6x2 + -288 + -3x2X = 0 + -288 Reorder the terms: 288 + -288 + -6x2 + -3x2X = 0 + -288 Combine like terms: 288 + -288 = 0 0 + -6x2 + -3x2X = 0 + -288 -6x2 + -3x2X = 0 + -288 Combine like terms: 0 + -288 = -288 -6x2 + -3x2X = -288 Reorder the terms: 288 + -6x2 + -3x2X = -288 + 288 Combine like terms: -288 + 288 = 0 288 + -6x2 + -3x2X = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(96 + -2x2 + -1x2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(96 + -2x2 + -1x2X)' equal to zero and attempt to solve: Simplifying 96 + -2x2 + -1x2X = 0 Solving 96 + -2x2 + -1x2X = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -2x2 + -96 + -1x2X = 0 + -96 Reorder the terms: 96 + -96 + -2x2 + -1x2X = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -2x2 + -1x2X = 0 + -96 -2x2 + -1x2X = 0 + -96 Combine like terms: 0 + -96 = -96 -2x2 + -1x2X = -96 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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