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Simplifying (5 + 7x)(7 + -4x) + -1(3x + 1) * squared = 0 Multiply (5 + 7x) * (7 + -4x) (5(7 + -4x) + 7x * (7 + -4x)) + -1(3x + 1) * squared = 0 ((7 * 5 + -4x * 5) + 7x * (7 + -4x)) + -1(3x + 1) * squared = 0 ((35 + -20x) + 7x * (7 + -4x)) + -1(3x + 1) * squared = 0 (35 + -20x + (7 * 7x + -4x * 7x)) + -1(3x + 1) * squared = 0 (35 + -20x + (49x + -28x2)) + -1(3x + 1) * squared = 0 Combine like terms: -20x + 49x = 29x (35 + 29x + -28x2) + -1(3x + 1) * squared = 0 Reorder the terms: 35 + 29x + -28x2 + -1(1 + 3x) * squared = 0 Reorder the terms for easier multiplication: 35 + 29x + -28x2 + -1adeqrsu(1 + 3x) = 0 35 + 29x + -28x2 + (1 * -1adeqrsu + 3x * -1adeqrsu) = 0 35 + 29x + -28x2 + (-1adeqrsu + -3adeqrsux) = 0 Reorder the terms: 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 Solving 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -1adeqrsu + -3adeqrsux + 29x + -35 + -28x2 = 0 + -35 Reorder the terms: 35 + -35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 + -35 -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 + -35 Combine like terms: 0 + -35 = -35 -1adeqrsu + -3adeqrsux + 29x + -28x2 = -35 Add '-29x' to each side of the equation. -1adeqrsu + -3adeqrsux + 29x + -29x + -28x2 = -35 + -29x Combine like terms: 29x + -29x = 0 -1adeqrsu + -3adeqrsux + 0 + -28x2 = -35 + -29x -1adeqrsu + -3adeqrsux + -28x2 = -35 + -29x Add '28x2' to each side of the equation. -1adeqrsu + -3adeqrsux + -28x2 + 28x2 = -35 + -29x + 28x2 Combine like terms: -28x2 + 28x2 = 0 -1adeqrsu + -3adeqrsux + 0 = -35 + -29x + 28x2 -1adeqrsu + -3adeqrsux = -35 + -29x + 28x2 Reorder the terms: 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = -35 + -29x + 28x2 + 35 + 29x + -28x2 Reorder the terms: 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = -35 + 35 + -29x + 29x + 28x2 + -28x2 Combine like terms: -35 + 35 = 0 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 + -29x + 29x + 28x2 + -28x2 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = -29x + 29x + 28x2 + -28x2 Combine like terms: -29x + 29x = 0 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 + 28x2 + -28x2 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 35 + -1adeqrsu + -3adeqrsux + 29x + -28x2 = 0 The solution to this equation could not be determined.
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