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Simplifying (7x + -6u + 5)(x + -4) = 0 Reorder the terms: (5 + -6u + 7x)(x + -4) = 0 Reorder the terms: (5 + -6u + 7x)(-4 + x) = 0 Multiply (5 + -6u + 7x) * (-4 + x) (5(-4 + x) + -6u * (-4 + x) + 7x * (-4 + x)) = 0 ((-4 * 5 + x * 5) + -6u * (-4 + x) + 7x * (-4 + x)) = 0 ((-20 + 5x) + -6u * (-4 + x) + 7x * (-4 + x)) = 0 (-20 + 5x + (-4 * -6u + x * -6u) + 7x * (-4 + x)) = 0 (-20 + 5x + (24u + -6ux) + 7x * (-4 + x)) = 0 (-20 + 5x + 24u + -6ux + (-4 * 7x + x * 7x)) = 0 (-20 + 5x + 24u + -6ux + (-28x + 7x2)) = 0 Reorder the terms: (-20 + 24u + -6ux + 5x + -28x + 7x2) = 0 Combine like terms: 5x + -28x = -23x (-20 + 24u + -6ux + -23x + 7x2) = 0 Solving -20 + 24u + -6ux + -23x + 7x2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 24u + -6ux + -23x + 20 + 7x2 = 0 + 20 Reorder the terms: -20 + 20 + 24u + -6ux + -23x + 7x2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 24u + -6ux + -23x + 7x2 = 0 + 20 24u + -6ux + -23x + 7x2 = 0 + 20 Combine like terms: 0 + 20 = 20 24u + -6ux + -23x + 7x2 = 20 Add '23x' to each side of the equation. 24u + -6ux + -23x + 23x + 7x2 = 20 + 23x Combine like terms: -23x + 23x = 0 24u + -6ux + 0 + 7x2 = 20 + 23x 24u + -6ux + 7x2 = 20 + 23x Add '-7x2' to each side of the equation. 24u + -6ux + 7x2 + -7x2 = 20 + 23x + -7x2 Combine like terms: 7x2 + -7x2 = 0 24u + -6ux + 0 = 20 + 23x + -7x2 24u + -6ux = 20 + 23x + -7x2 Reorder the terms: -20 + 24u + -6ux + -23x + 7x2 = 20 + 23x + -7x2 + -20 + -23x + 7x2 Reorder the terms: -20 + 24u + -6ux + -23x + 7x2 = 20 + -20 + 23x + -23x + -7x2 + 7x2 Combine like terms: 20 + -20 = 0 -20 + 24u + -6ux + -23x + 7x2 = 0 + 23x + -23x + -7x2 + 7x2 -20 + 24u + -6ux + -23x + 7x2 = 23x + -23x + -7x2 + 7x2 Combine like terms: 23x + -23x = 0 -20 + 24u + -6ux + -23x + 7x2 = 0 + -7x2 + 7x2 -20 + 24u + -6ux + -23x + 7x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -20 + 24u + -6ux + -23x + 7x2 = 0 The solution to this equation could not be determined.
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