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Simplifying (3x2 + 5x + -12) + -1(x2 + 4x + 9) = 5x2 + x + -18 Reorder the terms: (-12 + 5x + 3x2) + -1(x2 + 4x + 9) = 5x2 + x + -18 Remove parenthesis around (-12 + 5x + 3x2) -12 + 5x + 3x2 + -1(x2 + 4x + 9) = 5x2 + x + -18 Reorder the terms: -12 + 5x + 3x2 + -1(9 + 4x + x2) = 5x2 + x + -18 -12 + 5x + 3x2 + (9 * -1 + 4x * -1 + x2 * -1) = 5x2 + x + -18 -12 + 5x + 3x2 + (-9 + -4x + -1x2) = 5x2 + x + -18 Reorder the terms: -12 + -9 + 5x + -4x + 3x2 + -1x2 = 5x2 + x + -18 Combine like terms: -12 + -9 = -21 -21 + 5x + -4x + 3x2 + -1x2 = 5x2 + x + -18 Combine like terms: 5x + -4x = 1x -21 + 1x + 3x2 + -1x2 = 5x2 + x + -18 Combine like terms: 3x2 + -1x2 = 2x2 -21 + 1x + 2x2 = 5x2 + x + -18 Reorder the terms: -21 + 1x + 2x2 = -18 + x + 5x2 Solving -21 + 1x + 2x2 = -18 + x + 5x2 Solving for variable 'x'. Reorder the terms: -21 + 18 + 1x + -1x + 2x2 + -5x2 = -18 + x + 5x2 + 18 + -1x + -5x2 Combine like terms: -21 + 18 = -3 -3 + 1x + -1x + 2x2 + -5x2 = -18 + x + 5x2 + 18 + -1x + -5x2 Combine like terms: 1x + -1x = 0 -3 + 0 + 2x2 + -5x2 = -18 + x + 5x2 + 18 + -1x + -5x2 -3 + 2x2 + -5x2 = -18 + x + 5x2 + 18 + -1x + -5x2 Combine like terms: 2x2 + -5x2 = -3x2 -3 + -3x2 = -18 + x + 5x2 + 18 + -1x + -5x2 Reorder the terms: -3 + -3x2 = -18 + 18 + x + -1x + 5x2 + -5x2 Combine like terms: -18 + 18 = 0 -3 + -3x2 = 0 + x + -1x + 5x2 + -5x2 -3 + -3x2 = x + -1x + 5x2 + -5x2 Combine like terms: x + -1x = 0 -3 + -3x2 = 0 + 5x2 + -5x2 -3 + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3 + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(1 + x2) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 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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