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Simplifying 2x * sqrt(x2 + -10x) + -10sqrt(x2 + -10x) = 40 Reorder the terms: 2x * qrst(-10x + x2) + -10sqrt(x2 + -10x) = 40 Multiply x * qrst 2qrstx(-10x + x2) + -10sqrt(x2 + -10x) = 40 (-10x * 2qrstx + x2 * 2qrstx) + -10sqrt(x2 + -10x) = 40 (-20qrstx2 + 2qrstx3) + -10sqrt(x2 + -10x) = 40 Reorder the terms: -20qrstx2 + 2qrstx3 + -10qrst(-10x + x2) = 40 -20qrstx2 + 2qrstx3 + (-10x * -10qrst + x2 * -10qrst) = 40 -20qrstx2 + 2qrstx3 + (100qrstx + -10qrstx2) = 40 Reorder the terms: 100qrstx + -20qrstx2 + -10qrstx2 + 2qrstx3 = 40 Combine like terms: -20qrstx2 + -10qrstx2 = -30qrstx2 100qrstx + -30qrstx2 + 2qrstx3 = 40 Solving 100qrstx + -30qrstx2 + 2qrstx3 = 40 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -40 + 100qrstx + -30qrstx2 + 2qrstx3 = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 100qrstx + -30qrstx2 + 2qrstx3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 50qrstx + -15qrstx2 + qrstx3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 50qrstx + -15qrstx2 + qrstx3)' equal to zero and attempt to solve: Simplifying -20 + 50qrstx + -15qrstx2 + qrstx3 = 0 Solving -20 + 50qrstx + -15qrstx2 + qrstx3 = 0 Move all terms containing q to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 50qrstx + -15qrstx2 + 20 + qrstx3 = 0 + 20 Reorder the terms: -20 + 20 + 50qrstx + -15qrstx2 + qrstx3 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 50qrstx + -15qrstx2 + qrstx3 = 0 + 20 50qrstx + -15qrstx2 + qrstx3 = 0 + 20 Combine like terms: 0 + 20 = 20 50qrstx + -15qrstx2 + qrstx3 = 20 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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