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Simplifying -5qx + 6qx(5x + -6) + -65qx = -66 Reorder the terms: -5qx + 6qx(-6 + 5x) + -65qx = -66 -5qx + (-6 * 6qx + 5x * 6qx) + -65qx = -66 -5qx + (-36qx + 30qx2) + -65qx = -66 Reorder the terms: -5qx + -36qx + -65qx + 30qx2 = -66 Combine like terms: -5qx + -36qx = -41qx -41qx + -65qx + 30qx2 = -66 Combine like terms: -41qx + -65qx = -106qx -106qx + 30qx2 = -66 Solving -106qx + 30qx2 = -66 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: 66 + -106qx + 30qx2 = -66 + 66 Combine like terms: -66 + 66 = 0 66 + -106qx + 30qx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(33 + -53qx + 15qx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(33 + -53qx + 15qx2)' equal to zero and attempt to solve: Simplifying 33 + -53qx + 15qx2 = 0 Solving 33 + -53qx + 15qx2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -53qx + -33 + 15qx2 = 0 + -33 Reorder the terms: 33 + -33 + -53qx + 15qx2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -53qx + 15qx2 = 0 + -33 -53qx + 15qx2 = 0 + -33 Combine like terms: 0 + -33 = -33 -53qx + 15qx2 = -33 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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