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Simplifying x3 + -125 = (x + 5) + -1(x2 + -5x + 25) Reorder the terms: -125 + x3 = (x + 5) + -1(x2 + -5x + 25) Reorder the terms: -125 + x3 = (5 + x) + -1(x2 + -5x + 25) Remove parenthesis around (5 + x) -125 + x3 = 5 + x + -1(x2 + -5x + 25) Reorder the terms: -125 + x3 = 5 + x + -1(25 + -5x + x2) -125 + x3 = 5 + x + (25 * -1 + -5x * -1 + x2 * -1) -125 + x3 = 5 + x + (-25 + 5x + -1x2) Reorder the terms: -125 + x3 = 5 + -25 + x + 5x + -1x2 Combine like terms: 5 + -25 = -20 -125 + x3 = -20 + x + 5x + -1x2 Combine like terms: x + 5x = 6x -125 + x3 = -20 + 6x + -1x2 Solving -125 + x3 = -20 + 6x + -1x2 Solving for variable 'x'. Reorder the terms: -125 + 20 + -6x + x2 + x3 = -20 + 6x + -1x2 + 20 + -6x + x2 Combine like terms: -125 + 20 = -105 -105 + -6x + x2 + x3 = -20 + 6x + -1x2 + 20 + -6x + x2 Reorder the terms: -105 + -6x + x2 + x3 = -20 + 20 + 6x + -6x + -1x2 + x2 Combine like terms: -20 + 20 = 0 -105 + -6x + x2 + x3 = 0 + 6x + -6x + -1x2 + x2 -105 + -6x + x2 + x3 = 6x + -6x + -1x2 + x2 Combine like terms: 6x + -6x = 0 -105 + -6x + x2 + x3 = 0 + -1x2 + x2 -105 + -6x + x2 + x3 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -105 + -6x + x2 + x3 = 0 The solution to this equation could not be determined.
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