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Simplifying 3X(Q + T) = 6Q (Q * 3X + T * 3X) = 6Q (3QX + 3TX) = 6Q Solving 3QX + 3TX = 6Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-6Q' to each side of the equation. 3QX + -6Q + 3TX = 6Q + -6Q Reorder the terms: -6Q + 3QX + 3TX = 6Q + -6Q Combine like terms: 6Q + -6Q = 0 -6Q + 3QX + 3TX = 0 Add '-3TX' to each side of the equation. -6Q + 3QX + 3TX + -3TX = 0 + -3TX Combine like terms: 3TX + -3TX = 0 -6Q + 3QX + 0 = 0 + -3TX -6Q + 3QX = 0 + -3TX Remove the zero: -6Q + 3QX = -3TX Combine like terms: -3TX + 3TX = 0 -6Q + 3QX + 3TX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2Q + QX + TX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2Q + QX + TX)' equal to zero and attempt to solve: Simplifying -2Q + QX + TX = 0 Solving -2Q + QX + TX = 0 Move all terms containing Q to the left, all other terms to the right. Add '-1TX' to each side of the equation. -2Q + QX + TX + -1TX = 0 + -1TX Combine like terms: TX + -1TX = 0 -2Q + QX + 0 = 0 + -1TX -2Q + QX = 0 + -1TX Remove the zero: -2Q + QX = -1TX 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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