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Simplifying X[4(x + -2) + -5(x + -1)] = 2 Reorder the terms: X[4(-2 + x) + -5(x + -1)] = 2 X[(-2 * 4 + x * 4) + -5(x + -1)] = 2 X[(-8 + 4x) + -5(x + -1)] = 2 Reorder the terms: X[-8 + 4x + -5(-1 + x)] = 2 X[-8 + 4x + (-1 * -5 + x * -5)] = 2 X[-8 + 4x + (5 + -5x)] = 2 Reorder the terms: X[-8 + 5 + 4x + -5x] = 2 Combine like terms: -8 + 5 = -3 X[-3 + 4x + -5x] = 2 Combine like terms: 4x + -5x = -1x X[-3 + -1x] = 2 [-3 * X + -1x * X] = 2 [-3X + -1xX] = 2 Solving -3X + -1xX = 2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: -2 + -3X + -1xX = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -3X + -1xX = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 3X + xX) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 3X + xX)' equal to zero and attempt to solve: Simplifying 2 + 3X + xX = 0 Solving 2 + 3X + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3X + -2 + xX = 0 + -2 Reorder the terms: 2 + -2 + 3X + xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3X + xX = 0 + -2 3X + xX = 0 + -2 Combine like terms: 0 + -2 = -2 3X + xX = -2 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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