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Simplifying (4x + -3) * square + -1(2x + 3)(4x + -1) = 0 Reorder the terms: (-3 + 4x) * square + -1(2x + 3)(4x + -1) = 0 Reorder the terms for easier multiplication: aeqrsu(-3 + 4x) + -1(2x + 3)(4x + -1) = 0 (-3 * aeqrsu + 4x * aeqrsu) + -1(2x + 3)(4x + -1) = 0 (-3aeqrsu + 4aeqrsux) + -1(2x + 3)(4x + -1) = 0 Reorder the terms: -3aeqrsu + 4aeqrsux + -1(3 + 2x)(4x + -1) = 0 Reorder the terms: -3aeqrsu + 4aeqrsux + -1(3 + 2x)(-1 + 4x) = 0 Multiply (3 + 2x) * (-1 + 4x) -3aeqrsu + 4aeqrsux + -1(3(-1 + 4x) + 2x * (-1 + 4x)) = 0 -3aeqrsu + 4aeqrsux + -1((-1 * 3 + 4x * 3) + 2x * (-1 + 4x)) = 0 -3aeqrsu + 4aeqrsux + -1((-3 + 12x) + 2x * (-1 + 4x)) = 0 -3aeqrsu + 4aeqrsux + -1(-3 + 12x + (-1 * 2x + 4x * 2x)) = 0 -3aeqrsu + 4aeqrsux + -1(-3 + 12x + (-2x + 8x2)) = 0 Combine like terms: 12x + -2x = 10x -3aeqrsu + 4aeqrsux + -1(-3 + 10x + 8x2) = 0 -3aeqrsu + 4aeqrsux + (-3 * -1 + 10x * -1 + 8x2 * -1) = 0 -3aeqrsu + 4aeqrsux + (3 + -10x + -8x2) = 0 Reorder the terms: 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 Solving 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3aeqrsu + 4aeqrsux + -10x + -3 + -8x2 = 0 + -3 Reorder the terms: 3 + -3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 + -3 -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -3aeqrsu + 4aeqrsux + -10x + -8x2 = -3 Add '10x' to each side of the equation. -3aeqrsu + 4aeqrsux + -10x + 10x + -8x2 = -3 + 10x Combine like terms: -10x + 10x = 0 -3aeqrsu + 4aeqrsux + 0 + -8x2 = -3 + 10x -3aeqrsu + 4aeqrsux + -8x2 = -3 + 10x Add '8x2' to each side of the equation. -3aeqrsu + 4aeqrsux + -8x2 + 8x2 = -3 + 10x + 8x2 Combine like terms: -8x2 + 8x2 = 0 -3aeqrsu + 4aeqrsux + 0 = -3 + 10x + 8x2 -3aeqrsu + 4aeqrsux = -3 + 10x + 8x2 Reorder the terms: 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = -3 + 10x + 8x2 + 3 + -10x + -8x2 Reorder the terms: 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = -3 + 3 + 10x + -10x + 8x2 + -8x2 Combine like terms: -3 + 3 = 0 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 + 10x + -10x + 8x2 + -8x2 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 10x + -10x + 8x2 + -8x2 Combine like terms: 10x + -10x = 0 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 + 8x2 + -8x2 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 3 + -3aeqrsu + 4aeqrsux + -10x + -8x2 = 0 The solution to this equation could not be determined.
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