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Simplifying 30 = 2q(r + -5x) 30 = (r * 2q + -5x * 2q) 30 = (2qr + -10qx) Solving 30 = 2qr + -10qx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qr' to each side of the equation. 30 + -2qr = 2qr + -2qr + -10qx Combine like terms: 2qr + -2qr = 0 30 + -2qr = 0 + -10qx 30 + -2qr = -10qx Add '10qx' to each side of the equation. 30 + -2qr + 10qx = -10qx + 10qx Combine like terms: -10qx + 10qx = 0 30 + -2qr + 10qx = 0 Add '-30' to each side of the equation. 30 + -2qr + -30 + 10qx = 0 + -30 Reorder the terms: 30 + -30 + -2qr + 10qx = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2qr + 10qx = 0 + -30 -2qr + 10qx = 0 + -30 Combine like terms: 0 + -30 = -30 -2qr + 10qx = -30 Reorder the terms: 30 + -2qr + 10qx = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -2qr + 10qx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -1qr + 5qx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -1qr + 5qx)' equal to zero and attempt to solve: Simplifying 15 + -1qr + 5qx = 0 Solving 15 + -1qr + 5qx = 0 Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -1qr + -15 + 5qx = 0 + -15 Reorder the terms: 15 + -15 + -1qr + 5qx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1qr + 5qx = 0 + -15 -1qr + 5qx = 0 + -15 Combine like terms: 0 + -15 = -15 -1qr + 5qx = -15 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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