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Simplifying 6x + -1(2x + 3)(x + 1) = x + 20 Reorder the terms: 6x + -1(3 + 2x)(x + 1) = x + 20 Reorder the terms: 6x + -1(3 + 2x)(1 + x) = x + 20 Multiply (3 + 2x) * (1 + x) 6x + -1(3(1 + x) + 2x * (1 + x)) = x + 20 6x + -1((1 * 3 + x * 3) + 2x * (1 + x)) = x + 20 6x + -1((3 + 3x) + 2x * (1 + x)) = x + 20 6x + -1(3 + 3x + (1 * 2x + x * 2x)) = x + 20 6x + -1(3 + 3x + (2x + 2x2)) = x + 20 Combine like terms: 3x + 2x = 5x 6x + -1(3 + 5x + 2x2) = x + 20 6x + (3 * -1 + 5x * -1 + 2x2 * -1) = x + 20 6x + (-3 + -5x + -2x2) = x + 20 Reorder the terms: -3 + 6x + -5x + -2x2 = x + 20 Combine like terms: 6x + -5x = 1x -3 + 1x + -2x2 = x + 20 Reorder the terms: -3 + 1x + -2x2 = 20 + x Solving -3 + 1x + -2x2 = 20 + x Solving for variable 'x'. Reorder the terms: -3 + -20 + 1x + -1x + -2x2 = 20 + x + -20 + -1x Combine like terms: -3 + -20 = -23 -23 + 1x + -1x + -2x2 = 20 + x + -20 + -1x Combine like terms: 1x + -1x = 0 -23 + 0 + -2x2 = 20 + x + -20 + -1x -23 + -2x2 = 20 + x + -20 + -1x Reorder the terms: -23 + -2x2 = 20 + -20 + x + -1x Combine like terms: 20 + -20 = 0 -23 + -2x2 = 0 + x + -1x -23 + -2x2 = x + -1x Combine like terms: x + -1x = 0 -23 + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(23 + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(23 + 2x2)' equal to zero and attempt to solve: Simplifying 23 + 2x2 = 0 Solving 23 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x2 = 0 + -23 2x2 = 0 + -23 Combine like terms: 0 + -23 = -23 2x2 = -23 Divide each side by '2'. x2 = -11.5 Simplifying x2 = -11.5 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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