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Simplifying 2x(3x + 5) + 3(3x + 5) = ax2 + bc + c Reorder the terms: 2x(5 + 3x) + 3(3x + 5) = ax2 + bc + c (5 * 2x + 3x * 2x) + 3(3x + 5) = ax2 + bc + c (10x + 6x2) + 3(3x + 5) = ax2 + bc + c Reorder the terms: 10x + 6x2 + 3(5 + 3x) = ax2 + bc + c 10x + 6x2 + (5 * 3 + 3x * 3) = ax2 + bc + c 10x + 6x2 + (15 + 9x) = ax2 + bc + c Reorder the terms: 15 + 10x + 9x + 6x2 = ax2 + bc + c Combine like terms: 10x + 9x = 19x 15 + 19x + 6x2 = ax2 + bc + c Solving 15 + 19x + 6x2 = ax2 + bc + c Solving for variable 'x'. Reorder the terms: 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = ax2 + bc + c + -1ax2 + -1bc + -1c Reorder the terms: 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = ax2 + -1ax2 + bc + -1bc + c + -1c Combine like terms: ax2 + -1ax2 = 0 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = 0 + bc + -1bc + c + -1c 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = bc + -1bc + c + -1c Combine like terms: bc + -1bc = 0 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = 0 + c + -1c 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = c + -1c Combine like terms: c + -1c = 0 15 + -1ax2 + -1bc + -1c + 19x + 6x2 = 0 The solution to this equation could not be determined.
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