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Simplifying (2x + -6) * sqrt(-1x2 + 2x) = 0 Reorder the terms: (-6 + 2x) * sqrt(-1x2 + 2x) = 0 Reorder the terms: (-6 + 2x) * qrst(2x + -1x2) = 0 Reorder the terms for easier multiplication: qrst(-6 + 2x)(2x + -1x2) = 0 Multiply (-6 + 2x) * (2x + -1x2) qrst(-6(2x + -1x2) + 2x * (2x + -1x2)) = 0 qrst((2x * -6 + -1x2 * -6) + 2x * (2x + -1x2)) = 0 qrst((-12x + 6x2) + 2x * (2x + -1x2)) = 0 qrst(-12x + 6x2 + (2x * 2x + -1x2 * 2x)) = 0 qrst(-12x + 6x2 + (4x2 + -2x3)) = 0 Combine like terms: 6x2 + 4x2 = 10x2 qrst(-12x + 10x2 + -2x3) = 0 (-12x * qrst + 10x2 * qrst + -2x3 * qrst) = 0 (-12qrstx + 10qrstx2 + -2qrstx3) = 0 Solving -12qrstx + 10qrstx2 + -2qrstx3 = 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), '2qrstx'. 2qrstx(-6 + 5x + -1x2) = 0 Factor a trinomial. 2qrstx((-3 + x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx = 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 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -1x 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + 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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