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Simplifying 3sqrt(4x2 + 7x + -3) + -3sqrt(8x) = 0 Reorder the terms: 3qrst(-3 + 7x + 4x2) + -3sqrt(8x) = 0 (-3 * 3qrst + 7x * 3qrst + 4x2 * 3qrst) + -3sqrt(8x) = 0 (-9qrst + 21qrstx + 12qrstx2) + -3sqrt(8x) = 0 Remove parenthesis around (8x) -9qrst + 21qrstx + 12qrstx2 + -3qrst * 8x = 0 Reorder the terms for easier multiplication: -9qrst + 21qrstx + 12qrstx2 + -3 * 8qrst * x = 0 Multiply -3 * 8 -9qrst + 21qrstx + 12qrstx2 + -24qrst * x = 0 Multiply qrst * x -9qrst + 21qrstx + 12qrstx2 + -24qrstx = 0 Reorder the terms: -9qrst + 21qrstx + -24qrstx + 12qrstx2 = 0 Combine like terms: 21qrstx + -24qrstx = -3qrstx -9qrst + -3qrstx + 12qrstx2 = 0 Solving -9qrst + -3qrstx + 12qrstx2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3qrst'. 3qrst(-3 + -1x + 4x2) = 0 Factor a trinomial. 3qrst((-3 + -4x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Add '4x' to each side of the equation. -4x + 4x = 3 + 4x Combine like terms: -4x + 4x = 0 0 = 3 + 4x Simplifying 0 = 3 + 4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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