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Simplifying (5r + -4)(6x + -6) = 0 Reorder the terms: (-4 + 5r)(6x + -6) = 0 Reorder the terms: (-4 + 5r)(-6 + 6x) = 0 Multiply (-4 + 5r) * (-6 + 6x) (-4(-6 + 6x) + 5r * (-6 + 6x)) = 0 ((-6 * -4 + 6x * -4) + 5r * (-6 + 6x)) = 0 ((24 + -24x) + 5r * (-6 + 6x)) = 0 (24 + -24x + (-6 * 5r + 6x * 5r)) = 0 (24 + -24x + (-30r + 30rx)) = 0 Reorder the terms: (24 + -30r + 30rx + -24x) = 0 (24 + -30r + 30rx + -24x) = 0 Solving 24 + -30r + 30rx + -24x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -30r + 30rx + -24 + -24x = 0 + -24 Reorder the terms: 24 + -24 + -30r + 30rx + -24x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -30r + 30rx + -24x = 0 + -24 -30r + 30rx + -24x = 0 + -24 Combine like terms: 0 + -24 = -24 -30r + 30rx + -24x = -24 Add '24x' to each side of the equation. -30r + 30rx + -24x + 24x = -24 + 24x Combine like terms: -24x + 24x = 0 -30r + 30rx + 0 = -24 + 24x -30r + 30rx = -24 + 24x Reorder the terms: 24 + -30r + 30rx + -24x = -24 + 24x + 24 + -24x Reorder the terms: 24 + -30r + 30rx + -24x = -24 + 24 + 24x + -24x Combine like terms: -24 + 24 = 0 24 + -30r + 30rx + -24x = 0 + 24x + -24x 24 + -30r + 30rx + -24x = 24x + -24x Combine like terms: 24x + -24x = 0 24 + -30r + 30rx + -24x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(4 + -5r + 5rx + -4x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + -5r + 5rx + -4x)' equal to zero and attempt to solve: Simplifying 4 + -5r + 5rx + -4x = 0 Solving 4 + -5r + 5rx + -4x = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -5r + 5rx + -4 + -4x = 0 + -4 Reorder the terms: 4 + -4 + -5r + 5rx + -4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5r + 5rx + -4x = 0 + -4 -5r + 5rx + -4x = 0 + -4 Combine like terms: 0 + -4 = -4 -5r + 5rx + -4x = -4 Add '4x' to each side of the equation. -5r + 5rx + -4x + 4x = -4 + 4x Combine like terms: -4x + 4x = 0 -5r + 5rx + 0 = -4 + 4x -5r + 5rx = -4 + 4x 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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