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Simplifying 3sqrt(5x2 + 5x + -4) + -3sqrt(6x) = 0 Reorder the terms: 3qrst(-4 + 5x + 5x2) + -3sqrt(6x) = 0 (-4 * 3qrst + 5x * 3qrst + 5x2 * 3qrst) + -3sqrt(6x) = 0 (-12qrst + 15qrstx + 15qrstx2) + -3sqrt(6x) = 0 Remove parenthesis around (6x) -12qrst + 15qrstx + 15qrstx2 + -3qrst * 6x = 0 Reorder the terms for easier multiplication: -12qrst + 15qrstx + 15qrstx2 + -3 * 6qrst * x = 0 Multiply -3 * 6 -12qrst + 15qrstx + 15qrstx2 + -18qrst * x = 0 Multiply qrst * x -12qrst + 15qrstx + 15qrstx2 + -18qrstx = 0 Reorder the terms: -12qrst + 15qrstx + -18qrstx + 15qrstx2 = 0 Combine like terms: 15qrstx + -18qrstx = -3qrstx -12qrst + -3qrstx + 15qrstx2 = 0 Solving -12qrst + -3qrstx + 15qrstx2 = 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(-4 + -1x + 5x2) = 0 Factor a trinomial. 3qrst((-4 + -5x)(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 '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Add '5x' to each side of the equation. -5x + 5x = 4 + 5x Combine like terms: -5x + 5x = 0 0 = 4 + 5x Simplifying 0 = 4 + 5x 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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