4x^2-13x+5+sqrt(3x+1)=0 - Solution

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4x^2-13x+5+sqrt(3x+1)=0

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Solution for 4x^2-13x+5+sqrt(3x+1)=0 equation:

Simplifying 4x2 + -13x + 5 + sqrt(3x + 1) = 0 Reorder the terms: 4x2 + -13x + 5 + qrst(1 + 3x) = 0 4x2 + -13x + 5 + (1 * qrst + 3x * qrst) = 0 4x2 + -13x + 5 + (1qrst + 3qrstx) = 0 Reorder the terms: 5 + 1qrst + 3qrstx + -13x + 4x2 = 0 Solving 5 + 1qrst + 3qrstx + -13x + 4x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1qrst + 3qrstx + -13x + -5 + 4x2 = 0 + -5 Reorder the terms: 5 + -5 + 1qrst + 3qrstx + -13x + 4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 1qrst + 3qrstx + -13x + 4x2 = 0 + -5 1qrst + 3qrstx + -13x + 4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 1qrst + 3qrstx + -13x + 4x2 = -5 Add '13x' to each side of the equation. 1qrst + 3qrstx + -13x + 13x + 4x2 = -5 + 13x Combine like terms: -13x + 13x = 0 1qrst + 3qrstx + 0 + 4x2 = -5 + 13x 1qrst + 3qrstx + 4x2 = -5 + 13x Add '-4x2' to each side of the equation. 1qrst + 3qrstx + 4x2 + -4x2 = -5 + 13x + -4x2 Combine like terms: 4x2 + -4x2 = 0 1qrst + 3qrstx + 0 = -5 + 13x + -4x2 1qrst + 3qrstx = -5 + 13x + -4x2 Reorder the terms: 5 + 1qrst + 3qrstx + -13x + 4x2 = -5 + 13x + -4x2 + 5 + -13x + 4x2 Reorder the terms: 5 + 1qrst + 3qrstx + -13x + 4x2 = -5 + 5 + 13x + -13x + -4x2 + 4x2 Combine like terms: -5 + 5 = 0 5 + 1qrst + 3qrstx + -13x + 4x2 = 0 + 13x + -13x + -4x2 + 4x2 5 + 1qrst + 3qrstx + -13x + 4x2 = 13x + -13x + -4x2 + 4x2 Combine like terms: 13x + -13x = 0 5 + 1qrst + 3qrstx + -13x + 4x2 = 0 + -4x2 + 4x2 5 + 1qrst + 3qrstx + -13x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 5 + 1qrst + 3qrstx + -13x + 4x2 = 0 The solution to this equation could not be determined.

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