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Simplifying (-3x2)(5xy + 4y) = 0 Remove parenthesis around (-3x2) -3x2(5xy + 4y) = 0 (5xy * -3x2 + 4y * -3x2) = 0 Reorder the terms: (-12x2y + -15x3y) = 0 (-12x2y + -15x3y) = 0 Solving -12x2y + -15x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x2y'. -3x2y(4 + 5x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-0.8}
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