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Simplifying 3(-4x + 15) = 2x(4 + -5y) Reorder the terms: 3(15 + -4x) = 2x(4 + -5y) (15 * 3 + -4x * 3) = 2x(4 + -5y) (45 + -12x) = 2x(4 + -5y) 45 + -12x = (4 * 2x + -5y * 2x) 45 + -12x = (8x + -10xy) Solving 45 + -12x = 8x + -10xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + -12x + -8x = 8x + -8x + -10xy Combine like terms: -12x + -8x = -20x 45 + -20x = 8x + -8x + -10xy Combine like terms: 8x + -8x = 0 45 + -20x = 0 + -10xy 45 + -20x = -10xy Add '10xy' to each side of the equation. 45 + -20x + 10xy = -10xy + 10xy Combine like terms: -10xy + 10xy = 0 45 + -20x + 10xy = 0 Add '-45' to each side of the equation. 45 + -20x + -45 + 10xy = 0 + -45 Reorder the terms: 45 + -45 + -20x + 10xy = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -20x + 10xy = 0 + -45 -20x + 10xy = 0 + -45 Combine like terms: 0 + -45 = -45 -20x + 10xy = -45 Reorder the terms: 45 + -20x + 10xy = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -20x + 10xy = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + -4x + 2xy) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + -4x + 2xy)' equal to zero and attempt to solve: Simplifying 9 + -4x + 2xy = 0 Solving 9 + -4x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -4x + -9 + 2xy = 0 + -9 Reorder the terms: 9 + -9 + -4x + 2xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x + 2xy = 0 + -9 -4x + 2xy = 0 + -9 Combine like terms: 0 + -9 = -9 -4x + 2xy = -9 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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