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Simplifying (2x + -3)(5x + 2) = ax2 + bc + c Reorder the terms: (-3 + 2x)(5x + 2) = ax2 + bc + c Reorder the terms: (-3 + 2x)(2 + 5x) = ax2 + bc + c Multiply (-3 + 2x) * (2 + 5x) (-3(2 + 5x) + 2x * (2 + 5x)) = ax2 + bc + c ((2 * -3 + 5x * -3) + 2x * (2 + 5x)) = ax2 + bc + c ((-6 + -15x) + 2x * (2 + 5x)) = ax2 + bc + c (-6 + -15x + (2 * 2x + 5x * 2x)) = ax2 + bc + c (-6 + -15x + (4x + 10x2)) = ax2 + bc + c Combine like terms: -15x + 4x = -11x (-6 + -11x + 10x2) = ax2 + bc + c Solving -6 + -11x + 10x2 = ax2 + bc + c Solving for variable 'x'. Reorder the terms: -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = ax2 + bc + c + -1ax2 + -1bc + -1c Reorder the terms: -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = ax2 + -1ax2 + bc + -1bc + c + -1c Combine like terms: ax2 + -1ax2 = 0 -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = 0 + bc + -1bc + c + -1c -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = bc + -1bc + c + -1c Combine like terms: bc + -1bc = 0 -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = 0 + c + -1c -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = c + -1c Combine like terms: c + -1c = 0 -6 + -1ax2 + -1bc + -1c + -11x + 10x2 = 0 The solution to this equation could not be determined.
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