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Simplifying 2x(3 + 5) + 3(3x + 5) = ax2 + bx + c Combine like terms: 3 + 5 = 8 2x(8) + 3(3x + 5) = ax2 + bx + c Reorder the terms for easier multiplication: 2 * 8x + 3(3x + 5) = ax2 + bx + c Multiply 2 * 8 16x + 3(3x + 5) = ax2 + bx + c Reorder the terms: 16x + 3(5 + 3x) = ax2 + bx + c 16x + (5 * 3 + 3x * 3) = ax2 + bx + c 16x + (15 + 9x) = ax2 + bx + c Reorder the terms: 15 + 16x + 9x = ax2 + bx + c Combine like terms: 16x + 9x = 25x 15 + 25x = ax2 + bx + c Solving 15 + 25x = ax2 + bx + c Solving for variable 'x'. Reorder the terms: 15 + -1ax2 + -1bx + -1c + 25x = ax2 + bx + c + -1ax2 + -1bx + -1c Reorder the terms: 15 + -1ax2 + -1bx + -1c + 25x = ax2 + -1ax2 + bx + -1bx + c + -1c Combine like terms: ax2 + -1ax2 = 0 15 + -1ax2 + -1bx + -1c + 25x = 0 + bx + -1bx + c + -1c 15 + -1ax2 + -1bx + -1c + 25x = bx + -1bx + c + -1c Combine like terms: bx + -1bx = 0 15 + -1ax2 + -1bx + -1c + 25x = 0 + c + -1c 15 + -1ax2 + -1bx + -1c + 25x = c + -1c Combine like terms: c + -1c = 0 15 + -1ax2 + -1bx + -1c + 25x = 0 The solution to this equation could not be determined.
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