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Simplifying 2(sqrt(6x + -5) * sqrt(2x + -9)) = 10 Reorder the terms: 2(qrst(-5 + 6x) * sqrt(2x + -9)) = 10 Reorder the terms: 2(qrst(-5 + 6x) * qrst(-9 + 2x)) = 10 Reorder the terms for easier multiplication: 2(qrst * qrst(-5 + 6x)(-9 + 2x)) = 10 Multiply qrst * qrst 2(q2r2s2t2(-5 + 6x)(-9 + 2x)) = 10 Multiply (-5 + 6x) * (-9 + 2x) 2(q2r2s2t2(-5(-9 + 2x) + 6x * (-9 + 2x))) = 10 2(q2r2s2t2((-9 * -5 + 2x * -5) + 6x * (-9 + 2x))) = 10 2(q2r2s2t2((45 + -10x) + 6x * (-9 + 2x))) = 10 2(q2r2s2t2(45 + -10x + (-9 * 6x + 2x * 6x))) = 10 2(q2r2s2t2(45 + -10x + (-54x + 12x2))) = 10 Combine like terms: -10x + -54x = -64x 2(q2r2s2t2(45 + -64x + 12x2)) = 10 2((45 * q2r2s2t2 + -64x * q2r2s2t2 + 12x2 * q2r2s2t2)) = 10 2((45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2)) = 10 (45q2r2s2t2 * 2 + -64q2r2s2t2x * 2 + 12q2r2s2t2x2 * 2) = 10 (90q2r2s2t2 + -128q2r2s2t2x + 24q2r2s2t2x2) = 10 Solving 90q2r2s2t2 + -128q2r2s2t2x + 24q2r2s2t2x2 = 10 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -10 + 90q2r2s2t2 + -128q2r2s2t2x + 24q2r2s2t2x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 90q2r2s2t2 + -128q2r2s2t2x + 24q2r2s2t2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2)' equal to zero and attempt to solve: Simplifying -5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0 Solving -5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 45q2r2s2t2 + -64q2r2s2t2x + 5 + 12q2r2s2t2x2 = 0 + 5 Reorder the terms: -5 + 5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0 + 5 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 5 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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