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Simplifying (4x + 1)(3x + -2u + -7) = 0 Reorder the terms: (1 + 4x)(3x + -2u + -7) = 0 Reorder the terms: (1 + 4x)(-7 + -2u + 3x) = 0 Multiply (1 + 4x) * (-7 + -2u + 3x) (1(-7 + -2u + 3x) + 4x * (-7 + -2u + 3x)) = 0 ((-7 * 1 + -2u * 1 + 3x * 1) + 4x * (-7 + -2u + 3x)) = 0 ((-7 + -2u + 3x) + 4x * (-7 + -2u + 3x)) = 0 (-7 + -2u + 3x + (-7 * 4x + -2u * 4x + 3x * 4x)) = 0 Reorder the terms: (-7 + -2u + 3x + (-8ux + -28x + 12x2)) = 0 (-7 + -2u + 3x + (-8ux + -28x + 12x2)) = 0 Reorder the terms: (-7 + -2u + -8ux + 3x + -28x + 12x2) = 0 Combine like terms: 3x + -28x = -25x (-7 + -2u + -8ux + -25x + 12x2) = 0 Solving -7 + -2u + -8ux + -25x + 12x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -2u + -8ux + -25x + 7 + 12x2 = 0 + 7 Reorder the terms: -7 + 7 + -2u + -8ux + -25x + 12x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2u + -8ux + -25x + 12x2 = 0 + 7 -2u + -8ux + -25x + 12x2 = 0 + 7 Combine like terms: 0 + 7 = 7 -2u + -8ux + -25x + 12x2 = 7 Add '25x' to each side of the equation. -2u + -8ux + -25x + 25x + 12x2 = 7 + 25x Combine like terms: -25x + 25x = 0 -2u + -8ux + 0 + 12x2 = 7 + 25x -2u + -8ux + 12x2 = 7 + 25x Add '-12x2' to each side of the equation. -2u + -8ux + 12x2 + -12x2 = 7 + 25x + -12x2 Combine like terms: 12x2 + -12x2 = 0 -2u + -8ux + 0 = 7 + 25x + -12x2 -2u + -8ux = 7 + 25x + -12x2 Reorder the terms: -7 + -2u + -8ux + -25x + 12x2 = 7 + 25x + -12x2 + -7 + -25x + 12x2 Reorder the terms: -7 + -2u + -8ux + -25x + 12x2 = 7 + -7 + 25x + -25x + -12x2 + 12x2 Combine like terms: 7 + -7 = 0 -7 + -2u + -8ux + -25x + 12x2 = 0 + 25x + -25x + -12x2 + 12x2 -7 + -2u + -8ux + -25x + 12x2 = 25x + -25x + -12x2 + 12x2 Combine like terms: 25x + -25x = 0 -7 + -2u + -8ux + -25x + 12x2 = 0 + -12x2 + 12x2 -7 + -2u + -8ux + -25x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -7 + -2u + -8ux + -25x + 12x2 = 0 The solution to this equation could not be determined.
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