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Simplifying 15(3x + 2) = 12x3 + 8x2 + -3x + -2 Reorder the terms: 15(2 + 3x) = 12x3 + 8x2 + -3x + -2 (2 * 15 + 3x * 15) = 12x3 + 8x2 + -3x + -2 (30 + 45x) = 12x3 + 8x2 + -3x + -2 Reorder the terms: 30 + 45x = -2 + -3x + 8x2 + 12x3 Solving 30 + 45x = -2 + -3x + 8x2 + 12x3 Solving for variable 'x'. Reorder the terms: 30 + 2 + 45x + 3x + -8x2 + -12x3 = -2 + -3x + 8x2 + 12x3 + 2 + 3x + -8x2 + -12x3 Combine like terms: 30 + 2 = 32 32 + 45x + 3x + -8x2 + -12x3 = -2 + -3x + 8x2 + 12x3 + 2 + 3x + -8x2 + -12x3 Combine like terms: 45x + 3x = 48x 32 + 48x + -8x2 + -12x3 = -2 + -3x + 8x2 + 12x3 + 2 + 3x + -8x2 + -12x3 Reorder the terms: 32 + 48x + -8x2 + -12x3 = -2 + 2 + -3x + 3x + 8x2 + -8x2 + 12x3 + -12x3 Combine like terms: -2 + 2 = 0 32 + 48x + -8x2 + -12x3 = 0 + -3x + 3x + 8x2 + -8x2 + 12x3 + -12x3 32 + 48x + -8x2 + -12x3 = -3x + 3x + 8x2 + -8x2 + 12x3 + -12x3 Combine like terms: -3x + 3x = 0 32 + 48x + -8x2 + -12x3 = 0 + 8x2 + -8x2 + 12x3 + -12x3 32 + 48x + -8x2 + -12x3 = 8x2 + -8x2 + 12x3 + -12x3 Combine like terms: 8x2 + -8x2 = 0 32 + 48x + -8x2 + -12x3 = 0 + 12x3 + -12x3 32 + 48x + -8x2 + -12x3 = 12x3 + -12x3 Combine like terms: 12x3 + -12x3 = 0 32 + 48x + -8x2 + -12x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(8 + 12x + -2x2 + -3x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + 12x + -2x2 + -3x3)' equal to zero and attempt to solve: Simplifying 8 + 12x + -2x2 + -3x3 = 0 Solving 8 + 12x + -2x2 + -3x3 = 0 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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